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Finding the Fourth Proportional to 137,847.80, 206,807.70 and 44,355.80

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Solution

The fourth proportional to 137,847.80, 206,807.70 and 44,355.80 is: 66,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,847.80 : 206,807.70 = 44,355.80 : x
  2. Step 2: Convert to fraction form
    137,847.80/206,807.70 = 44,355.80/x
  3. Step 3: Cross multiply
    137,847.80x = 206,807.70 × 44,355.80
  4. Step 4: Simplify right side
    137,847.80x = 9,173,120,979.66
  5. Step 5: Solve for x
    x = 9,173,120,979.66/137,847.80
  6. Step 6: Final answer
    x = 66,545.28

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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.