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Finding the Fourth Proportional to 217,142, 299,620.96 and 136,512.40

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Solution

The fourth proportional to 217,142, 299,620.96 and 136,512.40 is: 188,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,142 : 299,620.96 = 136,512.40 : x
  2. Step 2: Convert to fraction form
    217,142/299,620.96 = 136,512.40/x
  3. Step 3: Cross multiply
    217,142x = 299,620.96 × 136,512.40
  4. Step 4: Simplify right side
    217,142x = 40,901,976,339.90
  5. Step 5: Solve for x
    x = 40,901,976,339.90/217,142
  6. Step 6: Final answer
    x = 188,365.11

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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.