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Finding the Fourth Proportional to 206,146.48, 284,476.20 and 120,124.48

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Solution

The fourth proportional to 206,146.48, 284,476.20 and 120,124.48 is: 165,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,146.48 : 284,476.20 = 120,124.48 : x
  2. Step 2: Convert to fraction form
    206,146.48/284,476.20 = 120,124.48/x
  3. Step 3: Cross multiply
    206,146.48x = 284,476.20 × 120,124.48
  4. Step 4: Simplify right side
    206,146.48x = 34,172,555,597.38
  5. Step 5: Solve for x
    x = 34,172,555,597.38/206,146.48
  6. Step 6: Final answer
    x = 165,768.32

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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.