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Finding the Fourth Proportional to 57,323.60, 85,839.60 and 54,699.20

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Solution

The fourth proportional to 57,323.60, 85,839.60 and 54,699.20 is: 81,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,323.60 : 85,839.60 = 54,699.20 : x
  2. Step 2: Convert to fraction form
    57,323.60/85,839.60 = 54,699.20/x
  3. Step 3: Cross multiply
    57,323.60x = 85,839.60 × 54,699.20
  4. Step 4: Simplify right side
    57,323.60x = 4,695,357,448.32
  5. Step 5: Solve for x
    x = 4,695,357,448.32/57,323.60
  6. Step 6: Final answer
    x = 81,909.68

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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.