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Finding the Fourth Proportional to 89,816.71, 123,947.02 and 51,578.77

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Solution

The fourth proportional to 89,816.71, 123,947.02 and 51,578.77 is: 71,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,816.71 : 123,947.02 = 51,578.77 : x
  2. Step 2: Convert to fraction form
    89,816.71/123,947.02 = 51,578.77/x
  3. Step 3: Cross multiply
    89,816.71x = 123,947.02 × 51,578.77
  4. Step 4: Simplify right side
    89,816.71x = 6,393,034,836.77
  5. Step 5: Solve for x
    x = 6,393,034,836.77/89,816.71
  6. Step 6: Final answer
    x = 71,178.68

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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.