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Finding the Fourth Proportional to 235,138.72, 324,490.24 and 127,708

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Solution

The fourth proportional to 235,138.72, 324,490.24 and 127,708 is: 176,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,138.72 : 324,490.24 = 127,708 : x
  2. Step 2: Convert to fraction form
    235,138.72/324,490.24 = 127,708/x
  3. Step 3: Cross multiply
    235,138.72x = 324,490.24 × 127,708
  4. Step 4: Simplify right side
    235,138.72x = 41,439,999,569.92
  5. Step 5: Solve for x
    x = 41,439,999,569.92/235,138.72
  6. Step 6: Final answer
    x = 176,236.39

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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.