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Finding the Fourth Proportional to 138,543.94, 207,741.38 and 71,818.66

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Solution

The fourth proportional to 138,543.94, 207,741.38 and 71,818.66 is: 107,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,543.94 : 207,741.38 = 71,818.66 : x
  2. Step 2: Convert to fraction form
    138,543.94/207,741.38 = 71,818.66/x
  3. Step 3: Cross multiply
    138,543.94x = 207,741.38 × 71,818.66
  4. Step 4: Simplify right side
    138,543.94x = 14,919,707,538.15
  5. Step 5: Solve for x
    x = 14,919,707,538.15/138,543.94
  6. Step 6: Final answer
    x = 107,689.36

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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.