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Finding the Fourth Proportional to 130,113.80, 194,781.90 and 77,496.20

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Solution

The fourth proportional to 130,113.80, 194,781.90 and 77,496.20 is: 116,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,113.80 : 194,781.90 = 77,496.20 : x
  2. Step 2: Convert to fraction form
    130,113.80/194,781.90 = 77,496.20/x
  3. Step 3: Cross multiply
    130,113.80x = 194,781.90 × 77,496.20
  4. Step 4: Simplify right side
    130,113.80x = 15,094,857,078.78
  5. Step 5: Solve for x
    x = 15,094,857,078.78/130,113.80
  6. Step 6: Final answer
    x = 116,012.73

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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.