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Finding the Fourth Proportional to 272,377.54, 408,566.31 and 85,404.10

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Solution

The fourth proportional to 272,377.54, 408,566.31 and 85,404.10 is: 128,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,377.54 : 408,566.31 = 85,404.10 : x
  2. Step 2: Convert to fraction form
    272,377.54/408,566.31 = 85,404.10/x
  3. Step 3: Cross multiply
    272,377.54x = 408,566.31 × 85,404.10
  4. Step 4: Simplify right side
    272,377.54x = 34,893,237,995.87
  5. Step 5: Solve for x
    x = 34,893,237,995.87/272,377.54
  6. Step 6: Final answer
    x = 128,106.15

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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.