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Finding the Fourth Proportional to 123,509.92, 170,446.86 and 75,789.64

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Solution

The fourth proportional to 123,509.92, 170,446.86 and 75,789.64 is: 104,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,509.92 : 170,446.86 = 75,789.64 : x
  2. Step 2: Convert to fraction form
    123,509.92/170,446.86 = 75,789.64/x
  3. Step 3: Cross multiply
    123,509.92x = 170,446.86 × 75,789.64
  4. Step 4: Simplify right side
    123,509.92x = 12,918,106,158.53
  5. Step 5: Solve for x
    x = 12,918,106,158.53/123,509.92
  6. Step 6: Final answer
    x = 104,591.65

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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.