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Finding the Fourth Proportional to 137,737.88, 206,535.14 and 48,978.49

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Solution

The fourth proportional to 137,737.88, 206,535.14 and 48,978.49 is: 73,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,737.88 : 206,535.14 = 48,978.49 : x
  2. Step 2: Convert to fraction form
    137,737.88/206,535.14 = 48,978.49/x
  3. Step 3: Cross multiply
    137,737.88x = 206,535.14 × 48,978.49
  4. Step 4: Simplify right side
    137,737.88x = 10,115,778,011.57
  5. Step 5: Solve for x
    x = 10,115,778,011.57/137,737.88
  6. Step 6: Final answer
    x = 73,442.24

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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.