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Finding the Fourth Proportional to 218,744.80, 327,937.20 and 98,809.60

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Solution

The fourth proportional to 218,744.80, 327,937.20 and 98,809.60 is: 148,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,744.80 : 327,937.20 = 98,809.60 : x
  2. Step 2: Convert to fraction form
    218,744.80/327,937.20 = 98,809.60/x
  3. Step 3: Cross multiply
    218,744.80x = 327,937.20 × 98,809.60
  4. Step 4: Simplify right side
    218,744.80x = 32,403,343,557.12
  5. Step 5: Solve for x
    x = 32,403,343,557.12/218,744.80
  6. Step 6: Final answer
    x = 148,133.09

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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.