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Finding the Fourth Proportional to 89,640, 123,737.04 and 70,469.76

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Solution

The fourth proportional to 89,640, 123,737.04 and 70,469.76 is: 97,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,640 : 123,737.04 = 70,469.76 : x
  2. Step 2: Convert to fraction form
    89,640/123,737.04 = 70,469.76/x
  3. Step 3: Cross multiply
    89,640x = 123,737.04 × 70,469.76
  4. Step 4: Simplify right side
    89,640x = 8,719,719,511.91
  5. Step 5: Solve for x
    x = 8,719,719,511.91/89,640
  6. Step 6: Final answer
    x = 97,274.87

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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.