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Finding the Fourth Proportional to 207,871.76, 286,864.26 and 117,229.52

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Solution

The fourth proportional to 207,871.76, 286,864.26 and 117,229.52 is: 161,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,871.76 : 286,864.26 = 117,229.52 : x
  2. Step 2: Convert to fraction form
    207,871.76/286,864.26 = 117,229.52/x
  3. Step 3: Cross multiply
    207,871.76x = 286,864.26 × 117,229.52
  4. Step 4: Simplify right side
    207,871.76x = 33,628,959,504.96
  5. Step 5: Solve for x
    x = 33,628,959,504.96/207,871.76
  6. Step 6: Final answer
    x = 161,777.43

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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.