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Finding the Fourth Proportional to 208,048.10, 312,072.15 and 103,072.10

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Solution

The fourth proportional to 208,048.10, 312,072.15 and 103,072.10 is: 154,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048.10 : 312,072.15 = 103,072.10 : x
  2. Step 2: Convert to fraction form
    208,048.10/312,072.15 = 103,072.10/x
  3. Step 3: Cross multiply
    208,048.10x = 312,072.15 × 103,072.10
  4. Step 4: Simplify right side
    208,048.10x = 32,165,931,852.02
  5. Step 5: Solve for x
    x = 32,165,931,852.02/208,048.10
  6. Step 6: Final answer
    x = 154,608.15

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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.