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Finding the Fourth Proportional to 145,202.60, 217,512.30 and 82,800.20

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Solution

The fourth proportional to 145,202.60, 217,512.30 and 82,800.20 is: 124,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.60 : 217,512.30 = 82,800.20 : x
  2. Step 2: Convert to fraction form
    145,202.60/217,512.30 = 82,800.20/x
  3. Step 3: Cross multiply
    145,202.60x = 217,512.30 × 82,800.20
  4. Step 4: Simplify right side
    145,202.60x = 18,010,061,942.46
  5. Step 5: Solve for x
    x = 18,010,061,942.46/145,202.60
  6. Step 6: Final answer
    x = 124,034.02

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1.5x scale

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.