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Finding the Fourth Proportional to 65,989.06, 91,064.92 and 35,774.37

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Solution

The fourth proportional to 65,989.06, 91,064.92 and 35,774.37 is: 49,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,989.06 : 91,064.92 = 35,774.37 : x
  2. Step 2: Convert to fraction form
    65,989.06/91,064.92 = 35,774.37/x
  3. Step 3: Cross multiply
    65,989.06x = 91,064.92 × 35,774.37
  4. Step 4: Simplify right side
    65,989.06x = 3,257,790,142.10
  5. Step 5: Solve for x
    x = 3,257,790,142.10/65,989.06
  6. Step 6: Final answer
    x = 49,368.64

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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.