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Finding the Fourth Proportional to 89,754.86, 123,860.10 and 48,919.39

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Solution

The fourth proportional to 89,754.86, 123,860.10 and 48,919.39 is: 67,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,754.86 : 123,860.10 = 48,919.39 : x
  2. Step 2: Convert to fraction form
    89,754.86/123,860.10 = 48,919.39/x
  3. Step 3: Cross multiply
    89,754.86x = 123,860.10 × 48,919.39
  4. Step 4: Simplify right side
    89,754.86x = 6,059,160,901.47
  5. Step 5: Solve for x
    x = 6,059,160,901.47/89,754.86
  6. Step 6: Final answer
    x = 67,507.89

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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.