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Finding the Fourth Proportional to 130,142.60, 195,213.90 and 85,819.40

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Solution

The fourth proportional to 130,142.60, 195,213.90 and 85,819.40 is: 128,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,142.60 : 195,213.90 = 85,819.40 : x
  2. Step 2: Convert to fraction form
    130,142.60/195,213.90 = 85,819.40/x
  3. Step 3: Cross multiply
    130,142.60x = 195,213.90 × 85,819.40
  4. Step 4: Simplify right side
    130,142.60x = 16,753,139,769.66
  5. Step 5: Solve for x
    x = 16,753,139,769.66/130,142.60
  6. Step 6: Final answer
    x = 128,729.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.