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Finding the Fourth Proportional to 138,071.25, 206,774.72 and 78,727.01

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Solution

The fourth proportional to 138,071.25, 206,774.72 and 78,727.01 is: 117,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,071.25 : 206,774.72 = 78,727.01 : x
  2. Step 2: Convert to fraction form
    138,071.25/206,774.72 = 78,727.01/x
  3. Step 3: Cross multiply
    138,071.25x = 206,774.72 × 78,727.01
  4. Step 4: Simplify right side
    138,071.25x = 16,278,755,449.19
  5. Step 5: Solve for x
    x = 16,278,755,449.19/138,071.25
  6. Step 6: Final answer
    x = 117,901.12

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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.