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Finding the Fourth Proportional to 65,689.64, 98,534.39 and 21,316.39

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Solution

The fourth proportional to 65,689.64, 98,534.39 and 21,316.39 is: 31,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.64 : 98,534.39 = 21,316.39 : x
  2. Step 2: Convert to fraction form
    65,689.64/98,534.39 = 21,316.39/x
  3. Step 3: Cross multiply
    65,689.64x = 98,534.39 × 21,316.39
  4. Step 4: Simplify right side
    65,689.64x = 2,100,397,485.65
  5. Step 5: Solve for x
    x = 2,100,397,485.65/65,689.64
  6. Step 6: Final answer
    x = 31,974.56

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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.