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Finding the Fourth Proportional to 137,561.43, 206,371.84 and 42,789.81

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Solution

The fourth proportional to 137,561.43, 206,371.84 and 42,789.81 is: 64,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.43 : 206,371.84 = 42,789.81 : x
  2. Step 2: Convert to fraction form
    137,561.43/206,371.84 = 42,789.81/x
  3. Step 3: Cross multiply
    137,561.43x = 206,371.84 × 42,789.81
  4. Step 4: Simplify right side
    137,561.43x = 8,830,611,822.95
  5. Step 5: Solve for x
    x = 8,830,611,822.95/137,561.43
  6. Step 6: Final answer
    x = 64,193.95

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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.