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Finding the Fourth Proportional to 130,892.78, 180,580.10 and 75,691.91

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Solution

The fourth proportional to 130,892.78, 180,580.10 and 75,691.91 is: 104,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,892.78 : 180,580.10 = 75,691.91 : x
  2. Step 2: Convert to fraction form
    130,892.78/180,580.10 = 75,691.91/x
  3. Step 3: Cross multiply
    130,892.78x = 180,580.10 × 75,691.91
  4. Step 4: Simplify right side
    130,892.78x = 13,668,451,395.63
  5. Step 5: Solve for x
    x = 13,668,451,395.63/130,892.78
  6. Step 6: Final answer
    x = 104,424.79

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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.