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Finding the Fourth Proportional to 129,290.50, 178,442.81 and 74,834.79

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Solution

The fourth proportional to 129,290.50, 178,442.81 and 74,834.79 is: 103,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,290.50 : 178,442.81 = 74,834.79 : x
  2. Step 2: Convert to fraction form
    129,290.50/178,442.81 = 74,834.79/x
  3. Step 3: Cross multiply
    129,290.50x = 178,442.81 × 74,834.79
  4. Step 4: Simplify right side
    129,290.50x = 13,353,730,213.36
  5. Step 5: Solve for x
    x = 13,353,730,213.36/129,290.50
  6. Step 6: Final answer
    x = 103,284.70

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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.