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Finding the Fourth Proportional to 61,318.80, 91,978.20 and 53,542.80

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Solution

The fourth proportional to 61,318.80, 91,978.20 and 53,542.80 is: 80,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,318.80 : 91,978.20 = 53,542.80 : x
  2. Step 2: Convert to fraction form
    61,318.80/91,978.20 = 53,542.80/x
  3. Step 3: Cross multiply
    61,318.80x = 91,978.20 × 53,542.80
  4. Step 4: Simplify right side
    61,318.80x = 4,924,770,366.96
  5. Step 5: Solve for x
    x = 4,924,770,366.96/61,318.80
  6. Step 6: Final answer
    x = 80,314.20

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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.