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Finding the Fourth Proportional to 221,688.10, 332,532.15 and 133,041.70

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Solution

The fourth proportional to 221,688.10, 332,532.15 and 133,041.70 is: 199,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,688.10 : 332,532.15 = 133,041.70 : x
  2. Step 2: Convert to fraction form
    221,688.10/332,532.15 = 133,041.70/x
  3. Step 3: Cross multiply
    221,688.10x = 332,532.15 × 133,041.70
  4. Step 4: Simplify right side
    221,688.10x = 44,240,642,540.66
  5. Step 5: Solve for x
    x = 44,240,642,540.66/221,688.10
  6. Step 6: Final answer
    x = 199,562.55

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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.