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Finding the Fourth Proportional to 65,782.22, 90,778.11 and 35,974.22

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Solution

The fourth proportional to 65,782.22, 90,778.11 and 35,974.22 is: 49,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.22 : 90,778.11 = 35,974.22 : x
  2. Step 2: Convert to fraction form
    65,782.22/90,778.11 = 35,974.22/x
  3. Step 3: Cross multiply
    65,782.22x = 90,778.11 × 35,974.22
  4. Step 4: Simplify right side
    65,782.22x = 3,265,671,700.32
  5. Step 5: Solve for x
    x = 3,265,671,700.32/65,782.22
  6. Step 6: Final answer
    x = 49,643.68

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1.5x scale

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.