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Finding the Fourth Proportional to 171,849.24, 257,740.49 and 86,437.32

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Solution

The fourth proportional to 171,849.24, 257,740.49 and 86,437.32 is: 129,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,849.24 : 257,740.49 = 86,437.32 : x
  2. Step 2: Convert to fraction form
    171,849.24/257,740.49 = 86,437.32/x
  3. Step 3: Cross multiply
    171,849.24x = 257,740.49 × 86,437.32
  4. Step 4: Simplify right side
    171,849.24x = 22,278,396,778.90
  5. Step 5: Solve for x
    x = 22,278,396,778.90/171,849.24
  6. Step 6: Final answer
    x = 129,639.19

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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.