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Finding the Fourth Proportional to 189,375.72, 261,363.48 and 120,471.90

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Solution

The fourth proportional to 189,375.72, 261,363.48 and 120,471.90 is: 166,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,375.72 : 261,363.48 = 120,471.90 : x
  2. Step 2: Convert to fraction form
    189,375.72/261,363.48 = 120,471.90/x
  3. Step 3: Cross multiply
    189,375.72x = 261,363.48 × 120,471.90
  4. Step 4: Simplify right side
    189,375.72x = 31,486,955,026.21
  5. Step 5: Solve for x
    x = 31,486,955,026.21/189,375.72
  6. Step 6: Final answer
    x = 166,267.12

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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.