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Finding the Fourth Proportional to 129,449.86, 178,696.08 and 87,033

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Solution

The fourth proportional to 129,449.86, 178,696.08 and 87,033 is: 120,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,449.86 : 178,696.08 = 87,033 : x
  2. Step 2: Convert to fraction form
    129,449.86/178,696.08 = 87,033/x
  3. Step 3: Cross multiply
    129,449.86x = 178,696.08 × 87,033
  4. Step 4: Simplify right side
    129,449.86x = 15,552,455,930.64
  5. Step 5: Solve for x
    x = 15,552,455,930.64/129,449.86
  6. Step 6: Final answer
    x = 120,142.70

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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.