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Finding the Fourth Proportional to 252,072, 347,866.65 and 138,902.04

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Solution

The fourth proportional to 252,072, 347,866.65 and 138,902.04 is: 191,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,072 : 347,866.65 = 138,902.04 : x
  2. Step 2: Convert to fraction form
    252,072/347,866.65 = 138,902.04/x
  3. Step 3: Cross multiply
    252,072x = 347,866.65 × 138,902.04
  4. Step 4: Simplify right side
    252,072x = 48,319,387,332.97
  5. Step 5: Solve for x
    x = 48,319,387,332.97/252,072
  6. Step 6: Final answer
    x = 191,688.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.