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Finding the Fourth Proportional to 130,429, 195,671.56 and 40,469.92

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Solution

The fourth proportional to 130,429, 195,671.56 and 40,469.92 is: 60,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,429 : 195,671.56 = 40,469.92 : x
  2. Step 2: Convert to fraction form
    130,429/195,671.56 = 40,469.92/x
  3. Step 3: Cross multiply
    130,429x = 195,671.56 × 40,469.92
  4. Step 4: Simplify right side
    130,429x = 7,918,812,379.48
  5. Step 5: Solve for x
    x = 7,918,812,379.48/130,429
  6. Step 6: Final answer
    x = 60,713.59

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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.