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Finding the Fourth Proportional to 65,701.94, 98,568.40 and 21,325.28

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Solution

The fourth proportional to 65,701.94, 98,568.40 and 21,325.28 is: 31,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.94 : 98,568.40 = 21,325.28 : x
  2. Step 2: Convert to fraction form
    65,701.94/98,568.40 = 21,325.28/x
  3. Step 3: Cross multiply
    65,701.94x = 98,568.40 × 21,325.28
  4. Step 4: Simplify right side
    65,701.94x = 2,101,998,729.15
  5. Step 5: Solve for x
    x = 2,101,998,729.15/65,701.94
  6. Step 6: Final answer
    x = 31,992.95

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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.