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Finding the Fourth Proportional to 57,292.80, 85,918.61 and 19,842.80

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Solution

The fourth proportional to 57,292.80, 85,918.61 and 19,842.80 is: 29,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,292.80 : 85,918.61 = 19,842.80 : x
  2. Step 2: Convert to fraction form
    57,292.80/85,918.61 = 19,842.80/x
  3. Step 3: Cross multiply
    57,292.80x = 85,918.61 × 19,842.80
  4. Step 4: Simplify right side
    57,292.80x = 1,704,865,265.70
  5. Step 5: Solve for x
    x = 1,704,865,265.70/57,292.80
  6. Step 6: Final answer
    x = 29,757.06

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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.