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Finding the Fourth Proportional to 127,597, 191,331.15 and 74,306.20

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Solution

The fourth proportional to 127,597, 191,331.15 and 74,306.20 is: 111,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,597 : 191,331.15 = 74,306.20 : x
  2. Step 2: Convert to fraction form
    127,597/191,331.15 = 74,306.20/x
  3. Step 3: Cross multiply
    127,597x = 191,331.15 × 74,306.20
  4. Step 4: Simplify right side
    127,597x = 14,217,090,698.13
  5. Step 5: Solve for x
    x = 14,217,090,698.13/127,597
  6. Step 6: Final answer
    x = 111,421.83

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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.