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Finding the Fourth Proportional to 316,125.72, 474,316.74 and 138,539.16

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Solution

The fourth proportional to 316,125.72, 474,316.74 and 138,539.16 is: 207,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,125.72 : 474,316.74 = 138,539.16 : x
  2. Step 2: Convert to fraction form
    316,125.72/474,316.74 = 138,539.16/x
  3. Step 3: Cross multiply
    316,125.72x = 474,316.74 × 138,539.16
  4. Step 4: Simplify right side
    316,125.72x = 65,711,442,733.54
  5. Step 5: Solve for x
    x = 65,711,442,733.54/316,125.72
  6. Step 6: Final answer
    x = 207,864.90

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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.