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Finding the Fourth Proportional to 65,682.75, 90,642.56 and 35,874.75

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Solution

The fourth proportional to 65,682.75, 90,642.56 and 35,874.75 is: 49,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.75 : 90,642.56 = 35,874.75 : x
  2. Step 2: Convert to fraction form
    65,682.75/90,642.56 = 35,874.75/x
  3. Step 3: Cross multiply
    65,682.75x = 90,642.56 × 35,874.75
  4. Step 4: Simplify right side
    65,682.75x = 3,251,778,999.99
  5. Step 5: Solve for x
    x = 3,251,778,999.99/65,682.75
  6. Step 6: Final answer
    x = 49,507.35

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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.