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Finding the Fourth Proportional to 126,308.59, 189,463.11 and 84,270.80

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Solution

The fourth proportional to 126,308.59, 189,463.11 and 84,270.80 is: 126,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,308.59 : 189,463.11 = 84,270.80 : x
  2. Step 2: Convert to fraction form
    126,308.59/189,463.11 = 84,270.80/x
  3. Step 3: Cross multiply
    126,308.59x = 189,463.11 × 84,270.80
  4. Step 4: Simplify right side
    126,308.59x = 15,966,207,850.19
  5. Step 5: Solve for x
    x = 15,966,207,850.19/126,308.59
  6. Step 6: Final answer
    x = 126,406.35

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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.