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Finding the Fourth Proportional to 65,376.64, 97,996.92 and 30,287.44

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Solution

The fourth proportional to 65,376.64, 97,996.92 and 30,287.44 is: 45,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,376.64 : 97,996.92 = 30,287.44 : x
  2. Step 2: Convert to fraction form
    65,376.64/97,996.92 = 30,287.44/x
  3. Step 3: Cross multiply
    65,376.64x = 97,996.92 × 30,287.44
  4. Step 4: Simplify right side
    65,376.64x = 2,968,075,834.68
  5. Step 5: Solve for x
    x = 2,968,075,834.68/65,376.64
  6. Step 6: Final answer
    x = 45,399.64

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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.