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Finding the Fourth Proportional to 221,798.60, 332,872.62 and 103,409

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Solution

The fourth proportional to 221,798.60, 332,872.62 and 103,409 is: 155,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,798.60 : 332,872.62 = 103,409 : x
  2. Step 2: Convert to fraction form
    221,798.60/332,872.62 = 103,409/x
  3. Step 3: Cross multiply
    221,798.60x = 332,872.62 × 103,409
  4. Step 4: Simplify right side
    221,798.60x = 34,422,024,761.58
  5. Step 5: Solve for x
    x = 34,422,024,761.58/221,798.60
  6. Step 6: Final answer
    x = 155,194.96

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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.