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Finding the Fourth Proportional to 206,148.48, 284,478.96 and 120,126.48

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Solution

The fourth proportional to 206,148.48, 284,478.96 and 120,126.48 is: 165,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,148.48 : 284,478.96 = 120,126.48 : x
  2. Step 2: Convert to fraction form
    206,148.48/284,478.96 = 120,126.48/x
  3. Step 3: Cross multiply
    206,148.48x = 284,478.96 × 120,126.48
  4. Step 4: Simplify right side
    206,148.48x = 34,173,456,098.86
  5. Step 5: Solve for x
    x = 34,173,456,098.86/206,148.48
  6. Step 6: Final answer
    x = 165,771.08

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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.