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Finding the Fourth Proportional to 129,689.28, 178,956 and 73,097.28

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Solution

The fourth proportional to 129,689.28, 178,956 and 73,097.28 is: 100,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,689.28 : 178,956 = 73,097.28 : x
  2. Step 2: Convert to fraction form
    129,689.28/178,956 = 73,097.28/x
  3. Step 3: Cross multiply
    129,689.28x = 178,956 × 73,097.28
  4. Step 4: Simplify right side
    129,689.28x = 13,081,196,839.68
  5. Step 5: Solve for x
    x = 13,081,196,839.68/129,689.28
  6. Step 6: Final answer
    x = 100,865.68

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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.