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Finding the Fourth Proportional to 135,781.47, 187,378.43 and 82,789.47

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Solution

The fourth proportional to 135,781.47, 187,378.43 and 82,789.47 is: 114,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,781.47 : 187,378.43 = 82,789.47 : x
  2. Step 2: Convert to fraction form
    135,781.47/187,378.43 = 82,789.47/x
  3. Step 3: Cross multiply
    135,781.47x = 187,378.43 × 82,789.47
  4. Step 4: Simplify right side
    135,781.47x = 15,512,960,909.13
  5. Step 5: Solve for x
    x = 15,512,960,909.13/135,781.47
  6. Step 6: Final answer
    x = 114,249.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.