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Finding the Fourth Proportional to 125,221.65, 187,850.70 and 40,961.40

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Solution

The fourth proportional to 125,221.65, 187,850.70 and 40,961.40 is: 61,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,221.65 : 187,850.70 = 40,961.40 : x
  2. Step 2: Convert to fraction form
    125,221.65/187,850.70 = 40,961.40/x
  3. Step 3: Cross multiply
    125,221.65x = 187,850.70 × 40,961.40
  4. Step 4: Simplify right side
    125,221.65x = 7,694,627,662.98
  5. Step 5: Solve for x
    x = 7,694,627,662.98/125,221.65
  6. Step 6: Final answer
    x = 61,448.06

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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.