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Finding the Fourth Proportional to 70,820.30, 106,214.11 and 20,218.39

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Solution

The fourth proportional to 70,820.30, 106,214.11 and 20,218.39 is: 30,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.30 : 106,214.11 = 20,218.39 : x
  2. Step 2: Convert to fraction form
    70,820.30/106,214.11 = 20,218.39/x
  3. Step 3: Cross multiply
    70,820.30x = 106,214.11 × 20,218.39
  4. Step 4: Simplify right side
    70,820.30x = 2,147,477,983.40
  5. Step 5: Solve for x
    x = 2,147,477,983.40/70,820.30
  6. Step 6: Final answer
    x = 30,322.91

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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.