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Finding the Fourth Proportional to 137,385.87, 206,092.77 and 47,416.87

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Solution

The fourth proportional to 137,385.87, 206,092.77 and 47,416.87 is: 71,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,385.87 : 206,092.77 = 47,416.87 : x
  2. Step 2: Convert to fraction form
    137,385.87/206,092.77 = 47,416.87/x
  3. Step 3: Cross multiply
    137,385.87x = 206,092.77 × 47,416.87
  4. Step 4: Simplify right side
    137,385.87x = 9,772,274,083.03
  5. Step 5: Solve for x
    x = 9,772,274,083.03/137,385.87
  6. Step 6: Final answer
    x = 71,130.13

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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.