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Finding the Fourth Proportional to 70,952.75, 106,428.61 and 21,033.06

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Solution

The fourth proportional to 70,952.75, 106,428.61 and 21,033.06 is: 31,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.75 : 106,428.61 = 21,033.06 : x
  2. Step 2: Convert to fraction form
    70,952.75/106,428.61 = 21,033.06/x
  3. Step 3: Cross multiply
    70,952.75x = 106,428.61 × 21,033.06
  4. Step 4: Simplify right side
    70,952.75x = 2,238,519,339.85
  5. Step 5: Solve for x
    x = 2,238,519,339.85/70,952.75
  6. Step 6: Final answer
    x = 31,549.44

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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.