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Finding the Fourth Proportional to 135,493.80, 186,978.91 and 81,781.08

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Solution

The fourth proportional to 135,493.80, 186,978.91 and 81,781.08 is: 112,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,493.80 : 186,978.91 = 81,781.08 : x
  2. Step 2: Convert to fraction form
    135,493.80/186,978.91 = 81,781.08/x
  3. Step 3: Cross multiply
    135,493.80x = 186,978.91 × 81,781.08
  4. Step 4: Simplify right side
    135,493.80x = 15,291,337,197.02
  5. Step 5: Solve for x
    x = 15,291,337,197.02/135,493.80
  6. Step 6: Final answer
    x = 112,856.36

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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.