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Finding the Fourth Proportional to 70,965.97, 106,430.83 and 21,034.39

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Solution

The fourth proportional to 70,965.97, 106,430.83 and 21,034.39 is: 31,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.97 : 106,430.83 = 21,034.39 : x
  2. Step 2: Convert to fraction form
    70,965.97/106,430.83 = 21,034.39/x
  3. Step 3: Cross multiply
    70,965.97x = 106,430.83 × 21,034.39
  4. Step 4: Simplify right side
    70,965.97x = 2,238,707,586.24
  5. Step 5: Solve for x
    x = 2,238,707,586.24/70,965.97
  6. Step 6: Final answer
    x = 31,546.21

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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.