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Finding the Fourth Proportional to 70,884, 106,343.28 and 21,636

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Solution

The fourth proportional to 70,884, 106,343.28 and 21,636 is: 32,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884 : 106,343.28 = 21,636 : x
  2. Step 2: Convert to fraction form
    70,884/106,343.28 = 21,636/x
  3. Step 3: Cross multiply
    70,884x = 106,343.28 × 21,636
  4. Step 4: Simplify right side
    70,884x = 2,300,843,206.08
  5. Step 5: Solve for x
    x = 2,300,843,206.08/70,884
  6. Step 6: Final answer
    x = 32,459.27

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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.