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Finding the Fourth Proportional to 65,743.84, 98,606.56 and 21,371.20

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Solution

The fourth proportional to 65,743.84, 98,606.56 and 21,371.20 is: 32,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.84 : 98,606.56 = 21,371.20 : x
  2. Step 2: Convert to fraction form
    65,743.84/98,606.56 = 21,371.20/x
  3. Step 3: Cross multiply
    65,743.84x = 98,606.56 × 21,371.20
  4. Step 4: Simplify right side
    65,743.84x = 2,107,340,515.07
  5. Step 5: Solve for x
    x = 2,107,340,515.07/65,743.84
  6. Step 6: Final answer
    x = 32,053.81

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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.