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Finding the Fourth Proportional to 83,281.60, 124,922.40 and 71,617.60

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Solution

The fourth proportional to 83,281.60, 124,922.40 and 71,617.60 is: 107,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.60 : 124,922.40 = 71,617.60 : x
  2. Step 2: Convert to fraction form
    83,281.60/124,922.40 = 71,617.60/x
  3. Step 3: Cross multiply
    83,281.60x = 124,922.40 × 71,617.60
  4. Step 4: Simplify right side
    83,281.60x = 8,946,642,474.24
  5. Step 5: Solve for x
    x = 8,946,642,474.24/83,281.60
  6. Step 6: Final answer
    x = 107,426.40

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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.