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Finding the Fourth Proportional to 89,695.68, 123,780.86 and 49,410.87

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Solution

The fourth proportional to 89,695.68, 123,780.86 and 49,410.87 is: 68,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,695.68 : 123,780.86 = 49,410.87 : x
  2. Step 2: Convert to fraction form
    89,695.68/123,780.86 = 49,410.87/x
  3. Step 3: Cross multiply
    89,695.68x = 123,780.86 × 49,410.87
  4. Step 4: Simplify right side
    89,695.68x = 6,116,119,981.95
  5. Step 5: Solve for x
    x = 6,116,119,981.95/89,695.68
  6. Step 6: Final answer
    x = 68,187.45

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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.