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Finding the Fourth Proportional to 89,693.81, 123,776.87 and 49,406.63

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Solution

The fourth proportional to 89,693.81, 123,776.87 and 49,406.63 is: 68,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693.81 : 123,776.87 = 49,406.63 : x
  2. Step 2: Convert to fraction form
    89,693.81/123,776.87 = 49,406.63/x
  3. Step 3: Cross multiply
    89,693.81x = 123,776.87 × 49,406.63
  4. Step 4: Simplify right side
    89,693.81x = 6,115,398,081.06
  5. Step 5: Solve for x
    x = 6,115,398,081.06/89,693.81
  6. Step 6: Final answer
    x = 68,180.83

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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.