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Finding the Fourth Proportional to 125,638.96, 188,375.12 and 45,667.43

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Solution

The fourth proportional to 125,638.96, 188,375.12 and 45,667.43 is: 68,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,638.96 : 188,375.12 = 45,667.43 : x
  2. Step 2: Convert to fraction form
    125,638.96/188,375.12 = 45,667.43/x
  3. Step 3: Cross multiply
    125,638.96x = 188,375.12 × 45,667.43
  4. Step 4: Simplify right side
    125,638.96x = 8,602,607,378.00
  5. Step 5: Solve for x
    x = 8,602,607,378.00/125,638.96
  6. Step 6: Final answer
    x = 68,470.86

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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.