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Finding the Fourth Proportional to 65,770.20, 90,762.66 and 37,480.68

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Solution

The fourth proportional to 65,770.20, 90,762.66 and 37,480.68 is: 51,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770.20 : 90,762.66 = 37,480.68 : x
  2. Step 2: Convert to fraction form
    65,770.20/90,762.66 = 37,480.68/x
  3. Step 3: Cross multiply
    65,770.20x = 90,762.66 × 37,480.68
  4. Step 4: Simplify right side
    65,770.20x = 3,401,846,215.41
  5. Step 5: Solve for x
    x = 3,401,846,215.41/65,770.20
  6. Step 6: Final answer
    x = 51,723.22

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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.