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Finding the Fourth Proportional to 83,034.60, 124,527.60 and 29,720.40

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Solution

The fourth proportional to 83,034.60, 124,527.60 and 29,720.40 is: 44,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034.60 : 124,527.60 = 29,720.40 : x
  2. Step 2: Convert to fraction form
    83,034.60/124,527.60 = 29,720.40/x
  3. Step 3: Cross multiply
    83,034.60x = 124,527.60 × 29,720.40
  4. Step 4: Simplify right side
    83,034.60x = 3,701,010,083.04
  5. Step 5: Solve for x
    x = 3,701,010,083.04/83,034.60
  6. Step 6: Final answer
    x = 44,571.90

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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.