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Finding the Fourth Proportional to 218,138.42, 300,932.62 and 127,453.61

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Solution

The fourth proportional to 218,138.42, 300,932.62 and 127,453.61 is: 175,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,138.42 : 300,932.62 = 127,453.61 : x
  2. Step 2: Convert to fraction form
    218,138.42/300,932.62 = 127,453.61/x
  3. Step 3: Cross multiply
    218,138.42x = 300,932.62 × 127,453.61
  4. Step 4: Simplify right side
    218,138.42x = 38,354,948,785.76
  5. Step 5: Solve for x
    x = 38,354,948,785.76/218,138.42
  6. Step 6: Final answer
    x = 175,828.49

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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.