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Finding the Fourth Proportional to 231,191.87, 319,046.99 and 135,700.16

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Solution

The fourth proportional to 231,191.87, 319,046.99 and 135,700.16 is: 187,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,191.87 : 319,046.99 = 135,700.16 : x
  2. Step 2: Convert to fraction form
    231,191.87/319,046.99 = 135,700.16/x
  3. Step 3: Cross multiply
    231,191.87x = 319,046.99 × 135,700.16
  4. Step 4: Simplify right side
    231,191.87x = 43,294,725,316.78
  5. Step 5: Solve for x
    x = 43,294,725,316.78/231,191.87
  6. Step 6: Final answer
    x = 187,267.51

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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.