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Finding the Fourth Proportional to 129,784.80, 194,288.40 and 77,167.20

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Solution

The fourth proportional to 129,784.80, 194,288.40 and 77,167.20 is: 115,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784.80 : 194,288.40 = 77,167.20 : x
  2. Step 2: Convert to fraction form
    129,784.80/194,288.40 = 77,167.20/x
  3. Step 3: Cross multiply
    129,784.80x = 194,288.40 × 77,167.20
  4. Step 4: Simplify right side
    129,784.80x = 14,992,691,820.48
  5. Step 5: Solve for x
    x = 14,992,691,820.48/129,784.80
  6. Step 6: Final answer
    x = 115,519.63

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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.