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Finding the Fourth Proportional to 257,853.54, 386,772.21 and 70,863.42

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Solution

The fourth proportional to 257,853.54, 386,772.21 and 70,863.42 is: 106,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.54 : 386,772.21 = 70,863.42 : x
  2. Step 2: Convert to fraction form
    257,853.54/386,772.21 = 70,863.42/x
  3. Step 3: Cross multiply
    257,853.54x = 386,772.21 × 70,863.42
  4. Step 4: Simplify right side
    257,853.54x = 27,408,001,561.56
  5. Step 5: Solve for x
    x = 27,408,001,561.56/257,853.54
  6. Step 6: Final answer
    x = 106,292.90

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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.