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Finding the Fourth Proportional to 214,115.40, 320,954.40 and 125,323.20

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Solution

The fourth proportional to 214,115.40, 320,954.40 and 125,323.20 is: 187,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,115.40 : 320,954.40 = 125,323.20 : x
  2. Step 2: Convert to fraction form
    214,115.40/320,954.40 = 125,323.20/x
  3. Step 3: Cross multiply
    214,115.40x = 320,954.40 × 125,323.20
  4. Step 4: Simplify right side
    214,115.40x = 40,223,032,462.08
  5. Step 5: Solve for x
    x = 40,223,032,462.08/214,115.40
  6. Step 6: Final answer
    x = 187,856.79

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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.