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Finding the Fourth Proportional to 130,209.90, 194,780.13 and 103,965.90

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Solution

The fourth proportional to 130,209.90, 194,780.13 and 103,965.90 is: 155,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,209.90 : 194,780.13 = 103,965.90 : x
  2. Step 2: Convert to fraction form
    130,209.90/194,780.13 = 103,965.90/x
  3. Step 3: Cross multiply
    130,209.90x = 194,780.13 × 103,965.90
  4. Step 4: Simplify right side
    130,209.90x = 20,250,491,517.57
  5. Step 5: Solve for x
    x = 20,250,491,517.57/130,209.90
  6. Step 6: Final answer
    x = 155,521.90

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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.