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Finding the Fourth Proportional to 70,997.55, 106,478.08 and 21,065.82

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Solution

The fourth proportional to 70,997.55, 106,478.08 and 21,065.82 is: 31,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,997.55 : 106,478.08 = 21,065.82 : x
  2. Step 2: Convert to fraction form
    70,997.55/106,478.08 = 21,065.82/x
  3. Step 3: Cross multiply
    70,997.55x = 106,478.08 × 21,065.82
  4. Step 4: Simplify right side
    70,997.55x = 2,243,048,067.23
  5. Step 5: Solve for x
    x = 2,243,048,067.23/70,997.55
  6. Step 6: Final answer
    x = 31,593.32

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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.