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Finding the Fourth Proportional to 189,897.96, 284,471.22 and 154,398.90

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Solution

The fourth proportional to 189,897.96, 284,471.22 and 154,398.90 is: 231,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.96 : 284,471.22 = 154,398.90 : x
  2. Step 2: Convert to fraction form
    189,897.96/284,471.22 = 154,398.90/x
  3. Step 3: Cross multiply
    189,897.96x = 284,471.22 × 154,398.90
  4. Step 4: Simplify right side
    189,897.96x = 43,922,043,449.66
  5. Step 5: Solve for x
    x = 43,922,043,449.66/189,897.96
  6. Step 6: Final answer
    x = 231,292.87

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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.