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Finding the Fourth Proportional to 65,983.97, 98,989.95 and 21,607.44

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Solution

The fourth proportional to 65,983.97, 98,989.95 and 21,607.44 is: 32,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,983.97 : 98,989.95 = 21,607.44 : x
  2. Step 2: Convert to fraction form
    65,983.97/98,989.95 = 21,607.44/x
  3. Step 3: Cross multiply
    65,983.97x = 98,989.95 × 21,607.44
  4. Step 4: Simplify right side
    65,983.97x = 2,138,919,405.23
  5. Step 5: Solve for x
    x = 2,138,919,405.23/65,983.97
  6. Step 6: Final answer
    x = 32,415.75

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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.