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Finding the Fourth Proportional to 126,347.40, 189,002.70 and 113,905.80

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Solution

The fourth proportional to 126,347.40, 189,002.70 and 113,905.80 is: 170,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,347.40 : 189,002.70 = 113,905.80 : x
  2. Step 2: Convert to fraction form
    126,347.40/189,002.70 = 113,905.80/x
  3. Step 3: Cross multiply
    126,347.40x = 189,002.70 × 113,905.80
  4. Step 4: Simplify right side
    126,347.40x = 21,528,503,745.66
  5. Step 5: Solve for x
    x = 21,528,503,745.66/126,347.40
  6. Step 6: Final answer
    x = 170,391.35

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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.