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Finding the Fourth Proportional to 65,991.68, 91,069.14 and 35,776.92

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Solution

The fourth proportional to 65,991.68, 91,069.14 and 35,776.92 is: 49,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,991.68 : 91,069.14 = 35,776.92 : x
  2. Step 2: Convert to fraction form
    65,991.68/91,069.14 = 35,776.92/x
  3. Step 3: Cross multiply
    65,991.68x = 91,069.14 × 35,776.92
  4. Step 4: Simplify right side
    65,991.68x = 3,258,173,336.25
  5. Step 5: Solve for x
    x = 3,258,173,336.25/65,991.68
  6. Step 6: Final answer
    x = 49,372.49

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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.