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Finding the Fourth Proportional to 71,112.96, 106,669.40 and 21,191.78

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Solution

The fourth proportional to 71,112.96, 106,669.40 and 21,191.78 is: 31,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,112.96 : 106,669.40 = 21,191.78 : x
  2. Step 2: Convert to fraction form
    71,112.96/106,669.40 = 21,191.78/x
  3. Step 3: Cross multiply
    71,112.96x = 106,669.40 × 21,191.78
  4. Step 4: Simplify right side
    71,112.96x = 2,260,513,818.23
  5. Step 5: Solve for x
    x = 2,260,513,818.23/71,112.96
  6. Step 6: Final answer
    x = 31,787.65

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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.