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Finding the Fourth Proportional to 71,397.80, 107,064.30 and 27,009.80

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Solution

The fourth proportional to 71,397.80, 107,064.30 and 27,009.80 is: 40,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,397.80 : 107,064.30 = 27,009.80 : x
  2. Step 2: Convert to fraction form
    71,397.80/107,064.30 = 27,009.80/x
  3. Step 3: Cross multiply
    71,397.80x = 107,064.30 × 27,009.80
  4. Step 4: Simplify right side
    71,397.80x = 2,891,785,330.14
  5. Step 5: Solve for x
    x = 2,891,785,330.14/71,397.80
  6. Step 6: Final answer
    x = 40,502.44

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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.