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Finding the Fourth Proportional to 89,538.80, 123,553.84 and 51,806

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Solution

The fourth proportional to 89,538.80, 123,553.84 and 51,806 is: 71,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,538.80 : 123,553.84 = 51,806 : x
  2. Step 2: Convert to fraction form
    89,538.80/123,553.84 = 51,806/x
  3. Step 3: Cross multiply
    89,538.80x = 123,553.84 × 51,806
  4. Step 4: Simplify right side
    89,538.80x = 6,400,830,235.04
  5. Step 5: Solve for x
    x = 6,400,830,235.04/89,538.80
  6. Step 6: Final answer
    x = 71,486.67

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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.