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Finding the Fourth Proportional to 71,130.49, 106,711.22 and 21,214.64

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Solution

The fourth proportional to 71,130.49, 106,711.22 and 21,214.64 is: 31,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.49 : 106,711.22 = 21,214.64 : x
  2. Step 2: Convert to fraction form
    71,130.49/106,711.22 = 21,214.64/x
  3. Step 3: Cross multiply
    71,130.49x = 106,711.22 × 21,214.64
  4. Step 4: Simplify right side
    71,130.49x = 2,263,840,436.08
  5. Step 5: Solve for x
    x = 2,263,840,436.08/71,130.49
  6. Step 6: Final answer
    x = 31,826.58

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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.