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Finding the Fourth Proportional to 130,814.60, 180,517.86 and 73,446.86

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Solution

The fourth proportional to 130,814.60, 180,517.86 and 73,446.86 is: 101,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,814.60 : 180,517.86 = 73,446.86 : x
  2. Step 2: Convert to fraction form
    130,814.60/180,517.86 = 73,446.86/x
  3. Step 3: Cross multiply
    130,814.60x = 180,517.86 × 73,446.86
  4. Step 4: Simplify right side
    130,814.60x = 13,258,469,990.92
  5. Step 5: Solve for x
    x = 13,258,469,990.92/130,814.60
  6. Step 6: Final answer
    x = 101,353.14

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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.