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Finding the Fourth Proportional to 120,099.92, 165,715.08 and 75,367.76

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Solution

The fourth proportional to 120,099.92, 165,715.08 and 75,367.76 is: 103,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,099.92 : 165,715.08 = 75,367.76 : x
  2. Step 2: Convert to fraction form
    120,099.92/165,715.08 = 75,367.76/x
  3. Step 3: Cross multiply
    120,099.92x = 165,715.08 × 75,367.76
  4. Step 4: Simplify right side
    120,099.92x = 12,489,574,377.82
  5. Step 5: Solve for x
    x = 12,489,574,377.82/120,099.92
  6. Step 6: Final answer
    x = 103,993.19

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1.5x scale

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.