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Finding the Fourth Proportional to 89,667.76, 123,742.44 and 49,382.32

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Solution

The fourth proportional to 89,667.76, 123,742.44 and 49,382.32 is: 68,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,667.76 : 123,742.44 = 49,382.32 : x
  2. Step 2: Convert to fraction form
    89,667.76/123,742.44 = 49,382.32/x
  3. Step 3: Cross multiply
    89,667.76x = 123,742.44 × 49,382.32
  4. Step 4: Simplify right side
    89,667.76x = 6,110,688,769.66
  5. Step 5: Solve for x
    x = 6,110,688,769.66/89,667.76
  6. Step 6: Final answer
    x = 68,148.11

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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.