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Finding the Fourth Proportional to 135,123.84, 186,523.52 and 120,952.16

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Solution

The fourth proportional to 135,123.84, 186,523.52 and 120,952.16 is: 166,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123.84 : 186,523.52 = 120,952.16 : x
  2. Step 2: Convert to fraction form
    135,123.84/186,523.52 = 120,952.16/x
  3. Step 3: Cross multiply
    135,123.84x = 186,523.52 × 120,952.16
  4. Step 4: Simplify right side
    135,123.84x = 22,560,422,634.80
  5. Step 5: Solve for x
    x = 22,560,422,634.80/135,123.84
  6. Step 6: Final answer
    x = 166,961.08

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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.