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Finding the Fourth Proportional to 137,791.80, 206,490.90 and 78,502.20

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Solution

The fourth proportional to 137,791.80, 206,490.90 and 78,502.20 is: 117,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.80 : 206,490.90 = 78,502.20 : x
  2. Step 2: Convert to fraction form
    137,791.80/206,490.90 = 78,502.20/x
  3. Step 3: Cross multiply
    137,791.80x = 206,490.90 × 78,502.20
  4. Step 4: Simplify right side
    137,791.80x = 16,209,989,929.98
  5. Step 5: Solve for x
    x = 16,209,989,929.98/137,791.80
  6. Step 6: Final answer
    x = 117,641.18

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1.5x scale

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.