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Finding the Fourth Proportional to 57,479.92, 86,189.10 and 25,429.84

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Solution

The fourth proportional to 57,479.92, 86,189.10 and 25,429.84 is: 38,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,479.92 : 86,189.10 = 25,429.84 : x
  2. Step 2: Convert to fraction form
    57,479.92/86,189.10 = 25,429.84/x
  3. Step 3: Cross multiply
    57,479.92x = 86,189.10 × 25,429.84
  4. Step 4: Simplify right side
    57,479.92x = 2,191,775,022.74
  5. Step 5: Solve for x
    x = 2,191,775,022.74/57,479.92
  6. Step 6: Final answer
    x = 38,131.14

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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.