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Finding the Fourth Proportional to 65,791.84, 98,662.02 and 21,407.80

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Solution

The fourth proportional to 65,791.84, 98,662.02 and 21,407.80 is: 32,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791.84 : 98,662.02 = 21,407.80 : x
  2. Step 2: Convert to fraction form
    65,791.84/98,662.02 = 21,407.80/x
  3. Step 3: Cross multiply
    65,791.84x = 98,662.02 × 21,407.80
  4. Step 4: Simplify right side
    65,791.84x = 2,112,136,791.76
  5. Step 5: Solve for x
    x = 2,112,136,791.76/65,791.84
  6. Step 6: Final answer
    x = 32,103.32

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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.