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Finding the Fourth Proportional to 94,711.80, 142,067.70 and 77,431.80

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Solution

The fourth proportional to 94,711.80, 142,067.70 and 77,431.80 is: 116,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,711.80 : 142,067.70 = 77,431.80 : x
  2. Step 2: Convert to fraction form
    94,711.80/142,067.70 = 77,431.80/x
  3. Step 3: Cross multiply
    94,711.80x = 142,067.70 × 77,431.80
  4. Step 4: Simplify right side
    94,711.80x = 11,000,557,732.86
  5. Step 5: Solve for x
    x = 11,000,557,732.86/94,711.80
  6. Step 6: Final answer
    x = 116,147.70

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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.