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Finding the Fourth Proportional to 189,034.29, 260,865.29 and 108,474.49

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Solution

The fourth proportional to 189,034.29, 260,865.29 and 108,474.49 is: 149,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,034.29 : 260,865.29 = 108,474.49 : x
  2. Step 2: Convert to fraction form
    189,034.29/260,865.29 = 108,474.49/x
  3. Step 3: Cross multiply
    189,034.29x = 260,865.29 × 108,474.49
  4. Step 4: Simplify right side
    189,034.29x = 28,297,229,888.72
  5. Step 5: Solve for x
    x = 28,297,229,888.72/189,034.29
  6. Step 6: Final answer
    x = 149,693.63

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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.