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Finding the Fourth Proportional to 123,278.76, 169,873.74 and 85,050

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Solution

The fourth proportional to 123,278.76, 169,873.74 and 85,050 is: 117,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,278.76 : 169,873.74 = 85,050 : x
  2. Step 2: Convert to fraction form
    123,278.76/169,873.74 = 85,050/x
  3. Step 3: Cross multiply
    123,278.76x = 169,873.74 × 85,050
  4. Step 4: Simplify right side
    123,278.76x = 14,447,761,587
  5. Step 5: Solve for x
    x = 14,447,761,587/123,278.76
  6. Step 6: Final answer
    x = 117,195.87

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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.