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Finding the Fourth Proportional to 126,490.48, 189,833.64 and 47,676.40

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Solution

The fourth proportional to 126,490.48, 189,833.64 and 47,676.40 is: 71,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,490.48 : 189,833.64 = 47,676.40 : x
  2. Step 2: Convert to fraction form
    126,490.48/189,833.64 = 47,676.40/x
  3. Step 3: Cross multiply
    126,490.48x = 189,833.64 × 47,676.40
  4. Step 4: Simplify right side
    126,490.48x = 9,050,584,554.10
  5. Step 5: Solve for x
    x = 9,050,584,554.10/126,490.48
  6. Step 6: Final answer
    x = 71,551.51

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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.