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Finding the Fourth Proportional to 224,953.89, 310,436.31 and 122,979.78

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Solution

The fourth proportional to 224,953.89, 310,436.31 and 122,979.78 is: 169,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,953.89 : 310,436.31 = 122,979.78 : x
  2. Step 2: Convert to fraction form
    224,953.89/310,436.31 = 122,979.78/x
  3. Step 3: Cross multiply
    224,953.89x = 310,436.31 × 122,979.78
  4. Step 4: Simplify right side
    224,953.89x = 38,177,389,107.81
  5. Step 5: Solve for x
    x = 38,177,389,107.81/224,953.89
  6. Step 6: Final answer
    x = 169,712.06

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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.