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Finding the Fourth Proportional to 169,138.70, 253,438.17 and 123,950.64

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Solution

The fourth proportional to 169,138.70, 253,438.17 and 123,950.64 is: 185,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,138.70 : 253,438.17 = 123,950.64 : x
  2. Step 2: Convert to fraction form
    169,138.70/253,438.17 = 123,950.64/x
  3. Step 3: Cross multiply
    169,138.70x = 253,438.17 × 123,950.64
  4. Step 4: Simplify right side
    169,138.70x = 31,413,823,129.14
  5. Step 5: Solve for x
    x = 31,413,823,129.14/169,138.70
  6. Step 6: Final answer
    x = 185,728.18

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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.