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Finding the Fourth Proportional to 150,542.87, 207,758.34 and 86,884.76

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Solution

The fourth proportional to 150,542.87, 207,758.34 and 86,884.76 is: 119,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.87 : 207,758.34 = 86,884.76 : x
  2. Step 2: Convert to fraction form
    150,542.87/207,758.34 = 86,884.76/x
  3. Step 3: Cross multiply
    150,542.87x = 207,758.34 × 86,884.76
  4. Step 4: Simplify right side
    150,542.87x = 18,051,032,470.11
  5. Step 5: Solve for x
    x = 18,051,032,470.11/150,542.87
  6. Step 6: Final answer
    x = 119,906.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.