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Finding the Fourth Proportional to 198,643.76, 297,871.98 and 72,195.06

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Solution

The fourth proportional to 198,643.76, 297,871.98 and 72,195.06 is: 108,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643.76 : 297,871.98 = 72,195.06 : x
  2. Step 2: Convert to fraction form
    198,643.76/297,871.98 = 72,195.06/x
  3. Step 3: Cross multiply
    198,643.76x = 297,871.98 × 72,195.06
  4. Step 4: Simplify right side
    198,643.76x = 21,504,885,468.42
  5. Step 5: Solve for x
    x = 21,504,885,468.42/198,643.76
  6. Step 6: Final answer
    x = 108,258.55

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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.