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Finding the Fourth Proportional to 138,643.91, 207,965.90 and 38,818.81

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Solution

The fourth proportional to 138,643.91, 207,965.90 and 38,818.81 is: 58,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643.91 : 207,965.90 = 38,818.81 : x
  2. Step 2: Convert to fraction form
    138,643.91/207,965.90 = 38,818.81/x
  3. Step 3: Cross multiply
    138,643.91x = 207,965.90 × 38,818.81
  4. Step 4: Simplify right side
    138,643.91x = 8,072,988,758.58
  5. Step 5: Solve for x
    x = 8,072,988,758.58/138,643.91
  6. Step 6: Final answer
    x = 58,228.22

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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.