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Finding the Fourth Proportional to 65,454.90, 90,322.74 and 36,765.42

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Solution

The fourth proportional to 65,454.90, 90,322.74 and 36,765.42 is: 50,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.90 : 90,322.74 = 36,765.42 : x
  2. Step 2: Convert to fraction form
    65,454.90/90,322.74 = 36,765.42/x
  3. Step 3: Cross multiply
    65,454.90x = 90,322.74 × 36,765.42
  4. Step 4: Simplify right side
    65,454.90x = 3,320,753,471.65
  5. Step 5: Solve for x
    x = 3,320,753,471.65/65,454.90
  6. Step 6: Final answer
    x = 50,733.46

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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.