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Finding the Fourth Proportional to 129,043.59, 178,063.65 and 75,316.29

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Solution

The fourth proportional to 129,043.59, 178,063.65 and 75,316.29 is: 103,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,043.59 : 178,063.65 = 75,316.29 : x
  2. Step 2: Convert to fraction form
    129,043.59/178,063.65 = 75,316.29/x
  3. Step 3: Cross multiply
    129,043.59x = 178,063.65 × 75,316.29
  4. Step 4: Simplify right side
    129,043.59x = 13,411,093,501.86
  5. Step 5: Solve for x
    x = 13,411,093,501.86/129,043.59
  6. Step 6: Final answer
    x = 103,926.85

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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.