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Finding the Fourth Proportional to 89,768, 123,879.16 and 49,481.76

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Solution

The fourth proportional to 89,768, 123,879.16 and 49,481.76 is: 68,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,768 : 123,879.16 = 49,481.76 : x
  2. Step 2: Convert to fraction form
    89,768/123,879.16 = 49,481.76/x
  3. Step 3: Cross multiply
    89,768x = 123,879.16 × 49,481.76
  4. Step 4: Simplify right side
    89,768x = 6,129,758,864.12
  5. Step 5: Solve for x
    x = 6,129,758,864.12/89,768
  6. Step 6: Final answer
    x = 68,284.45

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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.