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Finding the Fourth Proportional to 198,612.80, 297,832.80 and 65,441.60

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Solution

The fourth proportional to 198,612.80, 297,832.80 and 65,441.60 is: 98,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,612.80 : 297,832.80 = 65,441.60 : x
  2. Step 2: Convert to fraction form
    198,612.80/297,832.80 = 65,441.60/x
  3. Step 3: Cross multiply
    198,612.80x = 297,832.80 × 65,441.60
  4. Step 4: Simplify right side
    198,612.80x = 19,490,654,964.48
  5. Step 5: Solve for x
    x = 19,490,654,964.48/198,612.80
  6. Step 6: Final answer
    x = 98,133.93

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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.