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Finding the Fourth Proportional to 138,019.52, 207,029.06 and 43,257

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Solution

The fourth proportional to 138,019.52, 207,029.06 and 43,257 is: 64,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,019.52 : 207,029.06 = 43,257 : x
  2. Step 2: Convert to fraction form
    138,019.52/207,029.06 = 43,257/x
  3. Step 3: Cross multiply
    138,019.52x = 207,029.06 × 43,257
  4. Step 4: Simplify right side
    138,019.52x = 8,955,456,048.42
  5. Step 5: Solve for x
    x = 8,955,456,048.42/138,019.52
  6. Step 6: Final answer
    x = 64,885.43

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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.