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Finding the Fourth Proportional to 89,640, 123,703.20 and 49,896

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Solution

The fourth proportional to 89,640, 123,703.20 and 49,896 is: 68,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,640 : 123,703.20 = 49,896 : x
  2. Step 2: Convert to fraction form
    89,640/123,703.20 = 49,896/x
  3. Step 3: Cross multiply
    89,640x = 123,703.20 × 49,896
  4. Step 4: Simplify right side
    89,640x = 6,172,294,867.20
  5. Step 5: Solve for x
    x = 6,172,294,867.20/89,640
  6. Step 6: Final answer
    x = 68,856.48

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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.