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Finding the Fourth Proportional to 89,698.11, 123,778.80 and 49,411

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Solution

The fourth proportional to 89,698.11, 123,778.80 and 49,411 is: 68,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,698.11 : 123,778.80 = 49,411 : x
  2. Step 2: Convert to fraction form
    89,698.11/123,778.80 = 49,411/x
  3. Step 3: Cross multiply
    89,698.11x = 123,778.80 × 49,411
  4. Step 4: Simplify right side
    89,698.11x = 6,116,034,286.80
  5. Step 5: Solve for x
    x = 6,116,034,286.80/89,698.11
  6. Step 6: Final answer
    x = 68,184.65

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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.