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Finding the Fourth Proportional to 189,374.72, 261,362.10 and 120,470.90

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Solution

The fourth proportional to 189,374.72, 261,362.10 and 120,470.90 is: 166,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,374.72 : 261,362.10 = 120,470.90 : x
  2. Step 2: Convert to fraction form
    189,374.72/261,362.10 = 120,470.90/x
  3. Step 3: Cross multiply
    189,374.72x = 261,362.10 × 120,470.90
  4. Step 4: Simplify right side
    189,374.72x = 31,486,526,106.08
  5. Step 5: Solve for x
    x = 31,486,526,106.08/189,374.72
  6. Step 6: Final answer
    x = 166,265.73

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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.