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Finding the Fourth Proportional to 89,813.68, 123,951.16 and 51,578.24

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Solution

The fourth proportional to 89,813.68, 123,951.16 and 51,578.24 is: 71,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,813.68 : 123,951.16 = 51,578.24 : x
  2. Step 2: Convert to fraction form
    89,813.68/123,951.16 = 51,578.24/x
  3. Step 3: Cross multiply
    89,813.68x = 123,951.16 × 51,578.24
  4. Step 4: Simplify right side
    89,813.68x = 6,393,182,678.76
  5. Step 5: Solve for x
    x = 6,393,182,678.76/89,813.68
  6. Step 6: Final answer
    x = 71,182.73

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1.5x scale

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.