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Finding the Fourth Proportional to 159,321.87, 219,869.13 and 86,729.59

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Solution

The fourth proportional to 159,321.87, 219,869.13 and 86,729.59 is: 119,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,321.87 : 219,869.13 = 86,729.59 : x
  2. Step 2: Convert to fraction form
    159,321.87/219,869.13 = 86,729.59/x
  3. Step 3: Cross multiply
    159,321.87x = 219,869.13 × 86,729.59
  4. Step 4: Simplify right side
    159,321.87x = 19,069,159,498.56
  5. Step 5: Solve for x
    x = 19,069,159,498.56/159,321.87
  6. Step 6: Final answer
    x = 119,689.53

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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.