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Finding the Fourth Proportional to 206,168.60, 284,649.72 and 158,336.48

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Solution

The fourth proportional to 206,168.60, 284,649.72 and 158,336.48 is: 218,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,168.60 : 284,649.72 = 158,336.48 : x
  2. Step 2: Convert to fraction form
    206,168.60/284,649.72 = 158,336.48/x
  3. Step 3: Cross multiply
    206,168.60x = 284,649.72 × 158,336.48
  4. Step 4: Simplify right side
    206,168.60x = 45,070,434,697.79
  5. Step 5: Solve for x
    x = 45,070,434,697.79/206,168.60
  6. Step 6: Final answer
    x = 218,609.60

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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.