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Finding the Fourth Proportional to 71,322.49, 106,983.63 and 21,402.50

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Solution

The fourth proportional to 71,322.49, 106,983.63 and 21,402.50 is: 32,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322.49 : 106,983.63 = 21,402.50 : x
  2. Step 2: Convert to fraction form
    71,322.49/106,983.63 = 21,402.50/x
  3. Step 3: Cross multiply
    71,322.49x = 106,983.63 × 21,402.50
  4. Step 4: Simplify right side
    71,322.49x = 2,289,717,408.53
  5. Step 5: Solve for x
    x = 2,289,717,408.53/71,322.49
  6. Step 6: Final answer
    x = 32,103.72

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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.