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Finding the Fourth Proportional to 154,064.80, 230,902.80 and 75,008.80

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Solution

The fourth proportional to 154,064.80, 230,902.80 and 75,008.80 is: 112,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,064.80 : 230,902.80 = 75,008.80 : x
  2. Step 2: Convert to fraction form
    154,064.80/230,902.80 = 75,008.80/x
  3. Step 3: Cross multiply
    154,064.80x = 230,902.80 × 75,008.80
  4. Step 4: Simplify right side
    154,064.80x = 17,319,741,944.64
  5. Step 5: Solve for x
    x = 17,319,741,944.64/154,064.80
  6. Step 6: Final answer
    x = 112,418.55

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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.