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Finding the Fourth Proportional to 71,205.78, 106,830.08 and 21,287.50

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Solution

The fourth proportional to 71,205.78, 106,830.08 and 21,287.50 is: 31,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.78 : 106,830.08 = 21,287.50 : x
  2. Step 2: Convert to fraction form
    71,205.78/106,830.08 = 21,287.50/x
  3. Step 3: Cross multiply
    71,205.78x = 106,830.08 × 21,287.50
  4. Step 4: Simplify right side
    71,205.78x = 2,274,145,328
  5. Step 5: Solve for x
    x = 2,274,145,328/71,205.78
  6. Step 6: Final answer
    x = 31,937.65

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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.