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Finding the Fourth Proportional to 217,234.80, 299,796 and 121,772.16

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Solution

The fourth proportional to 217,234.80, 299,796 and 121,772.16 is: 168,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,234.80 : 299,796 = 121,772.16 : x
  2. Step 2: Convert to fraction form
    217,234.80/299,796 = 121,772.16/x
  3. Step 3: Cross multiply
    217,234.80x = 299,796 × 121,772.16
  4. Step 4: Simplify right side
    217,234.80x = 36,506,806,479.36
  5. Step 5: Solve for x
    x = 36,506,806,479.36/217,234.80
  6. Step 6: Final answer
    x = 168,052.29

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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.