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Finding the Fourth Proportional to 117,899.68, 162,722.70 and 75,456.76

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Solution

The fourth proportional to 117,899.68, 162,722.70 and 75,456.76 is: 104,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,899.68 : 162,722.70 = 75,456.76 : x
  2. Step 2: Convert to fraction form
    117,899.68/162,722.70 = 75,456.76/x
  3. Step 3: Cross multiply
    117,899.68x = 162,722.70 × 75,456.76
  4. Step 4: Simplify right side
    117,899.68x = 12,278,527,720.45
  5. Step 5: Solve for x
    x = 12,278,527,720.45/117,899.68
  6. Step 6: Final answer
    x = 104,143.86

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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.