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Finding the Fourth Proportional to 71,012.94, 106,501.02 and 21,081.30

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Solution

The fourth proportional to 71,012.94, 106,501.02 and 21,081.30 is: 31,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012.94 : 106,501.02 = 21,081.30 : x
  2. Step 2: Convert to fraction form
    71,012.94/106,501.02 = 21,081.30/x
  3. Step 3: Cross multiply
    71,012.94x = 106,501.02 × 21,081.30
  4. Step 4: Simplify right side
    71,012.94x = 2,245,179,952.93
  5. Step 5: Solve for x
    x = 2,245,179,952.93/71,012.94
  6. Step 6: Final answer
    x = 31,616.49

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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.