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Finding the Fourth Proportional to 218,060.80, 327,107.40 and 77,801.20

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Solution

The fourth proportional to 218,060.80, 327,107.40 and 77,801.20 is: 116,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,060.80 : 327,107.40 = 77,801.20 : x
  2. Step 2: Convert to fraction form
    218,060.80/327,107.40 = 77,801.20/x
  3. Step 3: Cross multiply
    218,060.80x = 327,107.40 × 77,801.20
  4. Step 4: Simplify right side
    218,060.80x = 25,449,348,248.88
  5. Step 5: Solve for x
    x = 25,449,348,248.88/218,060.80
  6. Step 6: Final answer
    x = 116,707.58

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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.