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Finding the Fourth Proportional to 71,124.33, 106,692 and 21,200.61

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Solution

The fourth proportional to 71,124.33, 106,692 and 21,200.61 is: 31,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.33 : 106,692 = 21,200.61 : x
  2. Step 2: Convert to fraction form
    71,124.33/106,692 = 21,200.61/x
  3. Step 3: Cross multiply
    71,124.33x = 106,692 × 21,200.61
  4. Step 4: Simplify right side
    71,124.33x = 2,261,935,482.12
  5. Step 5: Solve for x
    x = 2,261,935,482.12/71,124.33
  6. Step 6: Final answer
    x = 31,802.56

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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.