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Finding the Fourth Proportional to 89,777.16, 123,886.92 and 49,488.84

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Solution

The fourth proportional to 89,777.16, 123,886.92 and 49,488.84 is: 68,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,777.16 : 123,886.92 = 49,488.84 : x
  2. Step 2: Convert to fraction form
    89,777.16/123,886.92 = 49,488.84/x
  3. Step 3: Cross multiply
    89,777.16x = 123,886.92 × 49,488.84
  4. Step 4: Simplify right side
    89,777.16x = 6,131,019,961.97
  5. Step 5: Solve for x
    x = 6,131,019,961.97/89,777.16
  6. Step 6: Final answer
    x = 68,291.53

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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.