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Finding the Fourth Proportional to 129,860.80, 194,402.40 and 77,243.20

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Solution

The fourth proportional to 129,860.80, 194,402.40 and 77,243.20 is: 115,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,860.80 : 194,402.40 = 77,243.20 : x
  2. Step 2: Convert to fraction form
    129,860.80/194,402.40 = 77,243.20/x
  3. Step 3: Cross multiply
    129,860.80x = 194,402.40 × 77,243.20
  4. Step 4: Simplify right side
    129,860.80x = 15,016,263,463.68
  5. Step 5: Solve for x
    x = 15,016,263,463.68/129,860.80
  6. Step 6: Final answer
    x = 115,633.54

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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.