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Finding the Fourth Proportional to 78,103.49, 117,136.95 and 21,948.96

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Solution

The fourth proportional to 78,103.49, 117,136.95 and 21,948.96 is: 32,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.49 : 117,136.95 = 21,948.96 : x
  2. Step 2: Convert to fraction form
    78,103.49/117,136.95 = 21,948.96/x
  3. Step 3: Cross multiply
    78,103.49x = 117,136.95 × 21,948.96
  4. Step 4: Simplify right side
    78,103.49x = 2,571,034,230.07
  5. Step 5: Solve for x
    x = 2,571,034,230.07/78,103.49
  6. Step 6: Final answer
    x = 32,918.30

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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.