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Finding the Fourth Proportional to 138,696.32, 208,031.16 and 38,865.44

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Solution

The fourth proportional to 138,696.32, 208,031.16 and 38,865.44 is: 58,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,696.32 : 208,031.16 = 38,865.44 : x
  2. Step 2: Convert to fraction form
    138,696.32/208,031.16 = 38,865.44/x
  3. Step 3: Cross multiply
    138,696.32x = 208,031.16 × 38,865.44
  4. Step 4: Simplify right side
    138,696.32x = 8,085,222,567.11
  5. Step 5: Solve for x
    x = 8,085,222,567.11/138,696.32
  6. Step 6: Final answer
    x = 58,294.43

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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.