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Finding the Fourth Proportional to 169,838.74, 254,763.78 and 76,344.76

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Solution

The fourth proportional to 169,838.74, 254,763.78 and 76,344.76 is: 114,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,838.74 : 254,763.78 = 76,344.76 : x
  2. Step 2: Convert to fraction form
    169,838.74/254,763.78 = 76,344.76/x
  3. Step 3: Cross multiply
    169,838.74x = 254,763.78 × 76,344.76
  4. Step 4: Simplify right side
    169,838.74x = 19,449,879,640.79
  5. Step 5: Solve for x
    x = 19,449,879,640.79/169,838.74
  6. Step 6: Final answer
    x = 114,519.69

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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.