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Finding the Fourth Proportional to 89,215, 123,116.70 and 49,471

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Solution

The fourth proportional to 89,215, 123,116.70 and 49,471 is: 68,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215 : 123,116.70 = 49,471 : x
  2. Step 2: Convert to fraction form
    89,215/123,116.70 = 49,471/x
  3. Step 3: Cross multiply
    89,215x = 123,116.70 × 49,471
  4. Step 4: Simplify right side
    89,215x = 6,090,706,265.70
  5. Step 5: Solve for x
    x = 6,090,706,265.70/89,215
  6. Step 6: Final answer
    x = 68,269.98

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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.