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Finding the Fourth Proportional to 119,873.31, 165,331.69 and 76,856.91

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Solution

The fourth proportional to 119,873.31, 165,331.69 and 76,856.91 is: 106,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,873.31 : 165,331.69 = 76,856.91 : x
  2. Step 2: Convert to fraction form
    119,873.31/165,331.69 = 76,856.91/x
  3. Step 3: Cross multiply
    119,873.31x = 165,331.69 × 76,856.91
  4. Step 4: Simplify right side
    119,873.31x = 12,706,882,818.48
  5. Step 5: Solve for x
    x = 12,706,882,818.48/119,873.31
  6. Step 6: Final answer
    x = 106,002.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.