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Finding the Fourth Proportional to 70,872.88, 106,255.87 and 42,786.26

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Solution

The fourth proportional to 70,872.88, 106,255.87 and 42,786.26 is: 64,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.88 : 106,255.87 = 42,786.26 : x
  2. Step 2: Convert to fraction form
    70,872.88/106,255.87 = 42,786.26/x
  3. Step 3: Cross multiply
    70,872.88x = 106,255.87 × 42,786.26
  4. Step 4: Simplify right side
    70,872.88x = 4,546,291,280.35
  5. Step 5: Solve for x
    x = 4,546,291,280.35/70,872.88
  6. Step 6: Final answer
    x = 64,147.12

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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.