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Finding the Fourth Proportional to 234,100.80, 322,999.20 and 142,171.20

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Solution

The fourth proportional to 234,100.80, 322,999.20 and 142,171.20 is: 196,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,100.80 : 322,999.20 = 142,171.20 : x
  2. Step 2: Convert to fraction form
    234,100.80/322,999.20 = 142,171.20/x
  3. Step 3: Cross multiply
    234,100.80x = 322,999.20 × 142,171.20
  4. Step 4: Simplify right side
    234,100.80x = 45,921,183,863.04
  5. Step 5: Solve for x
    x = 45,921,183,863.04/234,100.80
  6. Step 6: Final answer
    x = 196,159.88

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1.5x scale

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.