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Finding the Fourth Proportional to 221,874.96, 332,679.12 and 86,778

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Solution

The fourth proportional to 221,874.96, 332,679.12 and 86,778 is: 130,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,874.96 : 332,679.12 = 86,778 : x
  2. Step 2: Convert to fraction form
    221,874.96/332,679.12 = 86,778/x
  3. Step 3: Cross multiply
    221,874.96x = 332,679.12 × 86,778
  4. Step 4: Simplify right side
    221,874.96x = 28,869,228,675.36
  5. Step 5: Solve for x
    x = 28,869,228,675.36/221,874.96
  6. Step 6: Final answer
    x = 130,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.