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Finding the Fourth Proportional to 214,020, 295,346.97 and 123,375.47

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Solution

The fourth proportional to 214,020, 295,346.97 and 123,375.47 is: 170,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,020 : 295,346.97 = 123,375.47 : x
  2. Step 2: Convert to fraction form
    214,020/295,346.97 = 123,375.47/x
  3. Step 3: Cross multiply
    214,020x = 295,346.97 × 123,375.47
  4. Step 4: Simplify right side
    214,020x = 36,438,569,760.09
  5. Step 5: Solve for x
    x = 36,438,569,760.09/214,020
  6. Step 6: Final answer
    x = 170,257.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.