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Finding the Fourth Proportional to 137,257.80, 205,894.05 and 42,553.41

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Solution

The fourth proportional to 137,257.80, 205,894.05 and 42,553.41 is: 63,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257.80 : 205,894.05 = 42,553.41 : x
  2. Step 2: Convert to fraction form
    137,257.80/205,894.05 = 42,553.41/x
  3. Step 3: Cross multiply
    137,257.80x = 205,894.05 × 42,553.41
  4. Step 4: Simplify right side
    137,257.80x = 8,761,493,926.21
  5. Step 5: Solve for x
    x = 8,761,493,926.21/137,257.80
  6. Step 6: Final answer
    x = 63,832.39

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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.