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Finding the Fourth Proportional to 153,902.40, 230,680.80 and 78,993.60

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Solution

The fourth proportional to 153,902.40, 230,680.80 and 78,993.60 is: 118,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902.40 : 230,680.80 = 78,993.60 : x
  2. Step 2: Convert to fraction form
    153,902.40/230,680.80 = 78,993.60/x
  3. Step 3: Cross multiply
    153,902.40x = 230,680.80 × 78,993.60
  4. Step 4: Simplify right side
    153,902.40x = 18,222,306,842.88
  5. Step 5: Solve for x
    x = 18,222,306,842.88/153,902.40
  6. Step 6: Final answer
    x = 118,401.71

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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.