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Finding the Fourth Proportional to 189,754.77, 261,916.65 and 109,239.15

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Solution

The fourth proportional to 189,754.77, 261,916.65 and 109,239.15 is: 150,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.77 : 261,916.65 = 109,239.15 : x
  2. Step 2: Convert to fraction form
    189,754.77/261,916.65 = 109,239.15/x
  3. Step 3: Cross multiply
    189,754.77x = 261,916.65 × 109,239.15
  4. Step 4: Simplify right side
    189,754.77x = 28,611,552,216.85
  5. Step 5: Solve for x
    x = 28,611,552,216.85/189,754.77
  6. Step 6: Final answer
    x = 150,781.73

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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.