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Finding the Fourth Proportional to 71,017.86, 106,541.37 and 21,093.51

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Solution

The fourth proportional to 71,017.86, 106,541.37 and 21,093.51 is: 31,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017.86 : 106,541.37 = 21,093.51 : x
  2. Step 2: Convert to fraction form
    71,017.86/106,541.37 = 21,093.51/x
  3. Step 3: Cross multiply
    71,017.86x = 106,541.37 × 21,093.51
  4. Step 4: Simplify right side
    71,017.86x = 2,247,331,348.04
  5. Step 5: Solve for x
    x = 2,247,331,348.04/71,017.86
  6. Step 6: Final answer
    x = 31,644.59

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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.