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Finding the Fourth Proportional to 70,921.68, 106,397.52 and 20,997.84

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Solution

The fourth proportional to 70,921.68, 106,397.52 and 20,997.84 is: 31,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,921.68 : 106,397.52 = 20,997.84 : x
  2. Step 2: Convert to fraction form
    70,921.68/106,397.52 = 20,997.84/x
  3. Step 3: Cross multiply
    70,921.68x = 106,397.52 × 20,997.84
  4. Step 4: Simplify right side
    70,921.68x = 2,234,118,101.36
  5. Step 5: Solve for x
    x = 2,234,118,101.36/70,921.68
  6. Step 6: Final answer
    x = 31,501.20

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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.