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Finding the Fourth Proportional to 89,760, 123,868.12 and 49,473.76

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Solution

The fourth proportional to 89,760, 123,868.12 and 49,473.76 is: 68,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,760 : 123,868.12 = 49,473.76 : x
  2. Step 2: Convert to fraction form
    89,760/123,868.12 = 49,473.76/x
  3. Step 3: Cross multiply
    89,760x = 123,868.12 × 49,473.76
  4. Step 4: Simplify right side
    89,760x = 6,128,221,640.53
  5. Step 5: Solve for x
    x = 6,128,221,640.53/89,760
  6. Step 6: Final answer
    x = 68,273.41

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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.