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Finding the Fourth Proportional to 65,772.78, 90,778.28 and 37,101.22

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Solution

The fourth proportional to 65,772.78, 90,778.28 and 37,101.22 is: 51,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772.78 : 90,778.28 = 37,101.22 : x
  2. Step 2: Convert to fraction form
    65,772.78/90,778.28 = 37,101.22/x
  3. Step 3: Cross multiply
    65,772.78x = 90,778.28 × 37,101.22
  4. Step 4: Simplify right side
    65,772.78x = 3,367,984,937.50
  5. Step 5: Solve for x
    x = 3,367,984,937.50/65,772.78
  6. Step 6: Final answer
    x = 51,206.36

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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.