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Finding the Fourth Proportional to 126,049, 189,073.50 and 86,486.17

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Solution

The fourth proportional to 126,049, 189,073.50 and 86,486.17 is: 129,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,049 : 189,073.50 = 86,486.17 : x
  2. Step 2: Convert to fraction form
    126,049/189,073.50 = 86,486.17/x
  3. Step 3: Cross multiply
    126,049x = 189,073.50 × 86,486.17
  4. Step 4: Simplify right side
    126,049x = 16,352,242,431.06
  5. Step 5: Solve for x
    x = 16,352,242,431.06/126,049
  6. Step 6: Final answer
    x = 129,729.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.