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Finding the Fourth Proportional to 71,236.84, 106,854 and 21,317.08

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Solution

The fourth proportional to 71,236.84, 106,854 and 21,317.08 is: 31,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,236.84 : 106,854 = 21,317.08 : x
  2. Step 2: Convert to fraction form
    71,236.84/106,854 = 21,317.08/x
  3. Step 3: Cross multiply
    71,236.84x = 106,854 × 21,317.08
  4. Step 4: Simplify right side
    71,236.84x = 2,277,815,266.32
  5. Step 5: Solve for x
    x = 2,277,815,266.32/71,236.84
  6. Step 6: Final answer
    x = 31,975.24

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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.