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Finding the Fourth Proportional to 154,039.20, 230,958.90 and 65,268.60

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Solution

The fourth proportional to 154,039.20, 230,958.90 and 65,268.60 is: 97,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,039.20 : 230,958.90 = 65,268.60 : x
  2. Step 2: Convert to fraction form
    154,039.20/230,958.90 = 65,268.60/x
  3. Step 3: Cross multiply
    154,039.20x = 230,958.90 × 65,268.60
  4. Step 4: Simplify right side
    154,039.20x = 15,074,364,060.54
  5. Step 5: Solve for x
    x = 15,074,364,060.54/154,039.20
  6. Step 6: Final answer
    x = 97,860.57

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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.