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Finding the Fourth Proportional to 65,649.42, 98,453.07 and 21,265.47

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Solution

The fourth proportional to 65,649.42, 98,453.07 and 21,265.47 is: 31,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,649.42 : 98,453.07 = 21,265.47 : x
  2. Step 2: Convert to fraction form
    65,649.42/98,453.07 = 21,265.47/x
  3. Step 3: Cross multiply
    65,649.42x = 98,453.07 × 21,265.47
  4. Step 4: Simplify right side
    65,649.42x = 2,093,650,806.49
  5. Step 5: Solve for x
    x = 2,093,650,806.49/65,649.42
  6. Step 6: Final answer
    x = 31,891.38

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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.