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Finding the Fourth Proportional to 159,517.76, 219,954.72 and 102,081.92

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Solution

The fourth proportional to 159,517.76, 219,954.72 and 102,081.92 is: 140,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,517.76 : 219,954.72 = 102,081.92 : x
  2. Step 2: Convert to fraction form
    159,517.76/219,954.72 = 102,081.92/x
  3. Step 3: Cross multiply
    159,517.76x = 219,954.72 × 102,081.92
  4. Step 4: Simplify right side
    159,517.76x = 22,453,400,130.66
  5. Step 5: Solve for x
    x = 22,453,400,130.66/159,517.76
  6. Step 6: Final answer
    x = 140,758.00

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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.