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Finding the Fourth Proportional to 129,103.50, 193,686.40 and 44,851.40

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Solution

The fourth proportional to 129,103.50, 193,686.40 and 44,851.40 is: 67,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,103.50 : 193,686.40 = 44,851.40 : x
  2. Step 2: Convert to fraction form
    129,103.50/193,686.40 = 44,851.40/x
  3. Step 3: Cross multiply
    129,103.50x = 193,686.40 × 44,851.40
  4. Step 4: Simplify right side
    129,103.50x = 8,687,106,200.96
  5. Step 5: Solve for x
    x = 8,687,106,200.96/129,103.50
  6. Step 6: Final answer
    x = 67,287.92

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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.