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Finding the Fourth Proportional to 159,063.42, 219,511.72 and 86,471.20

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Solution

The fourth proportional to 159,063.42, 219,511.72 and 86,471.20 is: 119,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,063.42 : 219,511.72 = 86,471.20 : x
  2. Step 2: Convert to fraction form
    159,063.42/219,511.72 = 86,471.20/x
  3. Step 3: Cross multiply
    159,063.42x = 219,511.72 × 86,471.20
  4. Step 4: Simplify right side
    159,063.42x = 18,981,440,990.19
  5. Step 5: Solve for x
    x = 18,981,440,990.19/159,063.42
  6. Step 6: Final answer
    x = 119,332.53

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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.