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Finding the Fourth Proportional to 210,989.31, 316,265.23 and 131,921.97

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Solution

The fourth proportional to 210,989.31, 316,265.23 and 131,921.97 is: 197,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,989.31 : 316,265.23 = 131,921.97 : x
  2. Step 2: Convert to fraction form
    210,989.31/316,265.23 = 131,921.97/x
  3. Step 3: Cross multiply
    210,989.31x = 316,265.23 × 131,921.97
  4. Step 4: Simplify right side
    210,989.31x = 41,722,332,184.10
  5. Step 5: Solve for x
    x = 41,722,332,184.10/210,989.31
  6. Step 6: Final answer
    x = 197,746.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.