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Finding the Fourth Proportional to 207,961.29, 286,965 and 153,542.39

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Solution

The fourth proportional to 207,961.29, 286,965 and 153,542.39 is: 211,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,961.29 : 286,965 = 153,542.39 : x
  2. Step 2: Convert to fraction form
    207,961.29/286,965 = 153,542.39/x
  3. Step 3: Cross multiply
    207,961.29x = 286,965 × 153,542.39
  4. Step 4: Simplify right side
    207,961.29x = 44,061,290,511.53
  5. Step 5: Solve for x
    x = 44,061,290,511.53/207,961.29
  6. Step 6: Final answer
    x = 211,872.56

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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.