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Finding the Fourth Proportional to 89,692.76, 123,776 and 51,988.88

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Solution

The fourth proportional to 89,692.76, 123,776 and 51,988.88 is: 71,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,692.76 : 123,776 = 51,988.88 : x
  2. Step 2: Convert to fraction form
    89,692.76/123,776 = 51,988.88/x
  3. Step 3: Cross multiply
    89,692.76x = 123,776 × 51,988.88
  4. Step 4: Simplify right side
    89,692.76x = 6,434,975,610.88
  5. Step 5: Solve for x
    x = 6,434,975,610.88/89,692.76
  6. Step 6: Final answer
    x = 71,744.65

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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.