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Finding the Fourth Proportional to 234,101.72, 322,755.36 and 149,187.80

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Solution

The fourth proportional to 234,101.72, 322,755.36 and 149,187.80 is: 205,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,101.72 : 322,755.36 = 149,187.80 : x
  2. Step 2: Convert to fraction form
    234,101.72/322,755.36 = 149,187.80/x
  3. Step 3: Cross multiply
    234,101.72x = 322,755.36 × 149,187.80
  4. Step 4: Simplify right side
    234,101.72x = 48,151,162,096.61
  5. Step 5: Solve for x
    x = 48,151,162,096.61/234,101.72
  6. Step 6: Final answer
    x = 205,684.79

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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.