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Finding the Fourth Proportional to 129,711.94, 178,994.77 and 75,259.89

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Solution

The fourth proportional to 129,711.94, 178,994.77 and 75,259.89 is: 103,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,711.94 : 178,994.77 = 75,259.89 : x
  2. Step 2: Convert to fraction form
    129,711.94/178,994.77 = 75,259.89/x
  3. Step 3: Cross multiply
    129,711.94x = 178,994.77 × 75,259.89
  4. Step 4: Simplify right side
    129,711.94x = 13,471,126,700.78
  5. Step 5: Solve for x
    x = 13,471,126,700.78/129,711.94
  6. Step 6: Final answer
    x = 103,854.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.