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Finding the Fourth Proportional to 206,778.20, 310,094.40 and 94,512.20

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Solution

The fourth proportional to 206,778.20, 310,094.40 and 94,512.20 is: 141,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,778.20 : 310,094.40 = 94,512.20 : x
  2. Step 2: Convert to fraction form
    206,778.20/310,094.40 = 94,512.20/x
  3. Step 3: Cross multiply
    206,778.20x = 310,094.40 × 94,512.20
  4. Step 4: Simplify right side
    206,778.20x = 29,307,703,951.68
  5. Step 5: Solve for x
    x = 29,307,703,951.68/206,778.20
  6. Step 6: Final answer
    x = 141,734.98

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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.