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Finding the Fourth Proportional to 221,659.80, 332,021.70 and 146,815.80

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Solution

The fourth proportional to 221,659.80, 332,021.70 and 146,815.80 is: 219,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,659.80 : 332,021.70 = 146,815.80 : x
  2. Step 2: Convert to fraction form
    221,659.80/332,021.70 = 146,815.80/x
  3. Step 3: Cross multiply
    221,659.80x = 332,021.70 × 146,815.80
  4. Step 4: Simplify right side
    221,659.80x = 48,746,031,502.86
  5. Step 5: Solve for x
    x = 48,746,031,502.86/221,659.80
  6. Step 6: Final answer
    x = 219,913.72

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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.