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Finding the Fourth Proportional to 221,655.08, 332,689.98 and 109,462

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Solution

The fourth proportional to 221,655.08, 332,689.98 and 109,462 is: 164,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,655.08 : 332,689.98 = 109,462 : x
  2. Step 2: Convert to fraction form
    221,655.08/332,689.98 = 109,462/x
  3. Step 3: Cross multiply
    221,655.08x = 332,689.98 × 109,462
  4. Step 4: Simplify right side
    221,655.08x = 36,416,910,590.76
  5. Step 5: Solve for x
    x = 36,416,910,590.76/221,655.08
  6. Step 6: Final answer
    x = 164,295.40

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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.