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Finding the Fourth Proportional to 65,716.64, 90,695.52 and 38,867.84

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Solution

The fourth proportional to 65,716.64, 90,695.52 and 38,867.84 is: 53,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.64 : 90,695.52 = 38,867.84 : x
  2. Step 2: Convert to fraction form
    65,716.64/90,695.52 = 38,867.84/x
  3. Step 3: Cross multiply
    65,716.64x = 90,695.52 × 38,867.84
  4. Step 4: Simplify right side
    65,716.64x = 3,525,138,960.08
  5. Step 5: Solve for x
    x = 3,525,138,960.08/65,716.64
  6. Step 6: Final answer
    x = 53,641.50

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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.