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Finding the Fourth Proportional to 137,897.34, 206,659.15 and 71,384.16

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Solution

The fourth proportional to 137,897.34, 206,659.15 and 71,384.16 is: 106,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.34 : 206,659.15 = 71,384.16 : x
  2. Step 2: Convert to fraction form
    137,897.34/206,659.15 = 71,384.16/x
  3. Step 3: Cross multiply
    137,897.34x = 206,659.15 × 71,384.16
  4. Step 4: Simplify right side
    137,897.34x = 14,752,189,844.35
  5. Step 5: Solve for x
    x = 14,752,189,844.35/137,897.34
  6. Step 6: Final answer
    x = 106,979.51

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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.