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Finding the Fourth Proportional to 71,207.80, 106,802.43 and 18,621.34

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Solution

The fourth proportional to 71,207.80, 106,802.43 and 18,621.34 is: 27,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.80 : 106,802.43 = 18,621.34 : x
  2. Step 2: Convert to fraction form
    71,207.80/106,802.43 = 18,621.34/x
  3. Step 3: Cross multiply
    71,207.80x = 106,802.43 × 18,621.34
  4. Step 4: Simplify right side
    71,207.80x = 1,988,804,361.86
  5. Step 5: Solve for x
    x = 1,988,804,361.86/71,207.80
  6. Step 6: Final answer
    x = 27,929.59

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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.