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Finding the Fourth Proportional to 155,716.80, 233,575.20 and 120,724.80

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Solution

The fourth proportional to 155,716.80, 233,575.20 and 120,724.80 is: 181,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,716.80 : 233,575.20 = 120,724.80 : x
  2. Step 2: Convert to fraction form
    155,716.80/233,575.20 = 120,724.80/x
  3. Step 3: Cross multiply
    155,716.80x = 233,575.20 × 120,724.80
  4. Step 4: Simplify right side
    155,716.80x = 28,198,319,304.96
  5. Step 5: Solve for x
    x = 28,198,319,304.96/155,716.80
  6. Step 6: Final answer
    x = 181,087.20

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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.