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Finding the Fourth Proportional to 81,421.60, 122,132.40 and 67,424.80

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Solution

The fourth proportional to 81,421.60, 122,132.40 and 67,424.80 is: 101,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,421.60 : 122,132.40 = 67,424.80 : x
  2. Step 2: Convert to fraction form
    81,421.60/122,132.40 = 67,424.80/x
  3. Step 3: Cross multiply
    81,421.60x = 122,132.40 × 67,424.80
  4. Step 4: Simplify right side
    81,421.60x = 8,234,752,643.52
  5. Step 5: Solve for x
    x = 8,234,752,643.52/81,421.60
  6. Step 6: Final answer
    x = 101,137.20

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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.