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Finding the Fourth Proportional to 65,321.64, 90,145.44 and 39,829.32

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Solution

The fourth proportional to 65,321.64, 90,145.44 and 39,829.32 is: 54,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321.64 : 90,145.44 = 39,829.32 : x
  2. Step 2: Convert to fraction form
    65,321.64/90,145.44 = 39,829.32/x
  3. Step 3: Cross multiply
    65,321.64x = 90,145.44 × 39,829.32
  4. Step 4: Simplify right side
    65,321.64x = 3,590,431,576.30
  5. Step 5: Solve for x
    x = 3,590,431,576.30/65,321.64
  6. Step 6: Final answer
    x = 54,965.42

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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.