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Finding the Fourth Proportional to 138,428.88, 191,033.64 and 81,839.76

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Solution

The fourth proportional to 138,428.88, 191,033.64 and 81,839.76 is: 112,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,428.88 : 191,033.64 = 81,839.76 : x
  2. Step 2: Convert to fraction form
    138,428.88/191,033.64 = 81,839.76/x
  3. Step 3: Cross multiply
    138,428.88x = 191,033.64 × 81,839.76
  4. Step 4: Simplify right side
    138,428.88x = 15,634,147,249.53
  5. Step 5: Solve for x
    x = 15,634,147,249.53/138,428.88
  6. Step 6: Final answer
    x = 112,939.92

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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.