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Finding the Fourth Proportional to 57,615.20, 86,422.80 and 13,839.20

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Solution

The fourth proportional to 57,615.20, 86,422.80 and 13,839.20 is: 20,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,615.20 : 86,422.80 = 13,839.20 : x
  2. Step 2: Convert to fraction form
    57,615.20/86,422.80 = 13,839.20/x
  3. Step 3: Cross multiply
    57,615.20x = 86,422.80 × 13,839.20
  4. Step 4: Simplify right side
    57,615.20x = 1,196,021,981.65
  5. Step 5: Solve for x
    x = 1,196,021,981.65/57,615.20
  6. Step 6: Final answer
    x = 20,758.79

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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.