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Finding the Fourth Proportional to 71,312.94, 106,965.09 and 18,721.26

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Solution

The fourth proportional to 71,312.94, 106,965.09 and 18,721.26 is: 28,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312.94 : 106,965.09 = 18,721.26 : x
  2. Step 2: Convert to fraction form
    71,312.94/106,965.09 = 18,721.26/x
  3. Step 3: Cross multiply
    71,312.94x = 106,965.09 × 18,721.26
  4. Step 4: Simplify right side
    71,312.94x = 2,002,521,260.81
  5. Step 5: Solve for x
    x = 2,002,521,260.81/71,312.94
  6. Step 6: Final answer
    x = 28,080.76

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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.