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Finding the Fourth Proportional to 137,580.87, 206,327.97 and 53,335.20

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Solution

The fourth proportional to 137,580.87, 206,327.97 and 53,335.20 is: 79,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.87 : 206,327.97 = 53,335.20 : x
  2. Step 2: Convert to fraction form
    137,580.87/206,327.97 = 53,335.20/x
  3. Step 3: Cross multiply
    137,580.87x = 206,327.97 × 53,335.20
  4. Step 4: Simplify right side
    137,580.87x = 11,004,543,545.54
  5. Step 5: Solve for x
    x = 11,004,543,545.54/137,580.87
  6. Step 6: Final answer
    x = 79,986.00

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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.