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Finding the Fourth Proportional to 89,586.43, 123,633.78 and 51,350.38

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Solution

The fourth proportional to 89,586.43, 123,633.78 and 51,350.38 is: 70,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,586.43 : 123,633.78 = 51,350.38 : x
  2. Step 2: Convert to fraction form
    89,586.43/123,633.78 = 51,350.38/x
  3. Step 3: Cross multiply
    89,586.43x = 123,633.78 × 51,350.38
  4. Step 4: Simplify right side
    89,586.43x = 6,348,641,274.75
  5. Step 5: Solve for x
    x = 6,348,641,274.75/89,586.43
  6. Step 6: Final answer
    x = 70,866.11

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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.