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Finding the Fourth Proportional to 225,142.92, 310,524.12 and 157,138.20

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Solution

The fourth proportional to 225,142.92, 310,524.12 and 157,138.20 is: 216,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142.92 : 310,524.12 = 157,138.20 : x
  2. Step 2: Convert to fraction form
    225,142.92/310,524.12 = 157,138.20/x
  3. Step 3: Cross multiply
    225,142.92x = 310,524.12 × 157,138.20
  4. Step 4: Simplify right side
    225,142.92x = 48,795,201,273.38
  5. Step 5: Solve for x
    x = 48,795,201,273.38/225,142.92
  6. Step 6: Final answer
    x = 216,729.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.