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Finding the Fourth Proportional to 71,283.76, 106,919.40 and 21,375

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Solution

The fourth proportional to 71,283.76, 106,919.40 and 21,375 is: 32,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,283.76 : 106,919.40 = 21,375 : x
  2. Step 2: Convert to fraction form
    71,283.76/106,919.40 = 21,375/x
  3. Step 3: Cross multiply
    71,283.76x = 106,919.40 × 21,375
  4. Step 4: Simplify right side
    71,283.76x = 2,285,402,175
  5. Step 5: Solve for x
    x = 2,285,402,175/71,283.76
  6. Step 6: Final answer
    x = 32,060.63

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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.