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Finding the Fourth Proportional to 70,709.31, 106,017.17 and 27,986.45

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Solution

The fourth proportional to 70,709.31, 106,017.17 and 27,986.45 is: 41,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,709.31 : 106,017.17 = 27,986.45 : x
  2. Step 2: Convert to fraction form
    70,709.31/106,017.17 = 27,986.45/x
  3. Step 3: Cross multiply
    70,709.31x = 106,017.17 × 27,986.45
  4. Step 4: Simplify right side
    70,709.31x = 2,967,043,557.33
  5. Step 5: Solve for x
    x = 2,967,043,557.33/70,709.31
  6. Step 6: Final answer
    x = 41,961.14

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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.