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Finding the Fourth Proportional to 137,625, 206,472.18 and 39,129

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Solution

The fourth proportional to 137,625, 206,472.18 and 39,129 is: 58,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,625 : 206,472.18 = 39,129 : x
  2. Step 2: Convert to fraction form
    137,625/206,472.18 = 39,129/x
  3. Step 3: Cross multiply
    137,625x = 206,472.18 × 39,129
  4. Step 4: Simplify right side
    137,625x = 8,079,049,931.22
  5. Step 5: Solve for x
    x = 8,079,049,931.22/137,625
  6. Step 6: Final answer
    x = 58,703.36

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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.