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Finding the Fourth Proportional to 71,138.13, 106,714.29 and 21,209.40

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Solution

The fourth proportional to 71,138.13, 106,714.29 and 21,209.40 is: 31,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.13 : 106,714.29 = 21,209.40 : x
  2. Step 2: Convert to fraction form
    71,138.13/106,714.29 = 21,209.40/x
  3. Step 3: Cross multiply
    71,138.13x = 106,714.29 × 21,209.40
  4. Step 4: Simplify right side
    71,138.13x = 2,263,346,062.33
  5. Step 5: Solve for x
    x = 2,263,346,062.33/71,138.13
  6. Step 6: Final answer
    x = 31,816.22

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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.