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Finding the Fourth Proportional to 65,372.64, 98,048.72 and 17,991.30

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Solution

The fourth proportional to 65,372.64, 98,048.72 and 17,991.30 is: 26,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,372.64 : 98,048.72 = 17,991.30 : x
  2. Step 2: Convert to fraction form
    65,372.64/98,048.72 = 17,991.30/x
  3. Step 3: Cross multiply
    65,372.64x = 98,048.72 × 17,991.30
  4. Step 4: Simplify right side
    65,372.64x = 1,764,023,936.14
  5. Step 5: Solve for x
    x = 1,764,023,936.14/65,372.64
  6. Step 6: Final answer
    x = 26,984.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.