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Finding the Fourth Proportional to 221,654.08, 332,688.48 and 109,461

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Solution

The fourth proportional to 221,654.08, 332,688.48 and 109,461 is: 164,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,654.08 : 332,688.48 = 109,461 : x
  2. Step 2: Convert to fraction form
    221,654.08/332,688.48 = 109,461/x
  3. Step 3: Cross multiply
    221,654.08x = 332,688.48 × 109,461
  4. Step 4: Simplify right side
    221,654.08x = 36,416,413,709.28
  5. Step 5: Solve for x
    x = 36,416,413,709.28/221,654.08
  6. Step 6: Final answer
    x = 164,293.90

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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.