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Finding the Fourth Proportional to 159,205.52, 219,706.92 and 87,585.68

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Solution

The fourth proportional to 159,205.52, 219,706.92 and 87,585.68 is: 120,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,205.52 : 219,706.92 = 87,585.68 : x
  2. Step 2: Convert to fraction form
    159,205.52/219,706.92 = 87,585.68/x
  3. Step 3: Cross multiply
    159,205.52x = 219,706.92 × 87,585.68
  4. Step 4: Simplify right side
    159,205.52x = 19,243,179,988.91
  5. Step 5: Solve for x
    x = 19,243,179,988.91/159,205.52
  6. Step 6: Final answer
    x = 120,870.06

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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.