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Finding the Fourth Proportional to 272,245,688.70, 408,368,533.05 and 99,739,940.10

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Solution

The fourth proportional to 272,245,688.70, 408,368,533.05 and 99,739,940.10 is: 149,609,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,245,688.70 : 408,368,533.05 = 99,739,940.10 : x
  2. Step 2: Convert to fraction form
    272,245,688.70/408,368,533.05 = 99,739,940.10/x
  3. Step 3: Cross multiply
    272,245,688.70x = 408,368,533.05 × 99,739,940.10
  4. Step 4: Simplify right side
    272,245,688.70x = 40,730,653,025,131,872
  5. Step 5: Solve for x
    x = 40,730,653,025,131,872/272,245,688.70
  6. Step 6: Final answer
    x = 149,609,910.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.