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Finding the Fourth Proportional to 71,114, 106,688.28 and 21,866

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Solution

The fourth proportional to 71,114, 106,688.28 and 21,866 is: 32,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114 : 106,688.28 = 21,866 : x
  2. Step 2: Convert to fraction form
    71,114/106,688.28 = 21,866/x
  3. Step 3: Cross multiply
    71,114x = 106,688.28 × 21,866
  4. Step 4: Simplify right side
    71,114x = 2,332,845,930.48
  5. Step 5: Solve for x
    x = 2,332,845,930.48/71,114
  6. Step 6: Final answer
    x = 32,804.31

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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.