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Finding the Fourth Proportional to 287,542.72, 431,391.72 and 87,857.65

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Solution

The fourth proportional to 287,542.72, 431,391.72 and 87,857.65 is: 131,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,542.72 : 431,391.72 = 87,857.65 : x
  2. Step 2: Convert to fraction form
    287,542.72/431,391.72 = 87,857.65/x
  3. Step 3: Cross multiply
    287,542.72x = 431,391.72 × 87,857.65
  4. Step 4: Simplify right side
    287,542.72x = 37,901,060,591.70
  5. Step 5: Solve for x
    x = 37,901,060,591.70/287,542.72
  6. Step 6: Final answer
    x = 131,810.19

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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.