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Finding the Fourth Proportional to 125,931.40, 189,042.90 and 76,067.80

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Solution

The fourth proportional to 125,931.40, 189,042.90 and 76,067.80 is: 114,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,931.40 : 189,042.90 = 76,067.80 : x
  2. Step 2: Convert to fraction form
    125,931.40/189,042.90 = 76,067.80/x
  3. Step 3: Cross multiply
    125,931.40x = 189,042.90 × 76,067.80
  4. Step 4: Simplify right side
    125,931.40x = 14,380,077,508.62
  5. Step 5: Solve for x
    x = 14,380,077,508.62/125,931.40
  6. Step 6: Final answer
    x = 114,189.77

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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.