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Finding the Fourth Proportional to 135,703.16, 187,265.92 and 81,978.80

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Solution

The fourth proportional to 135,703.16, 187,265.92 and 81,978.80 is: 113,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,703.16 : 187,265.92 = 81,978.80 : x
  2. Step 2: Convert to fraction form
    135,703.16/187,265.92 = 81,978.80/x
  3. Step 3: Cross multiply
    135,703.16x = 187,265.92 × 81,978.80
  4. Step 4: Simplify right side
    135,703.16x = 15,351,835,402.50
  5. Step 5: Solve for x
    x = 15,351,835,402.50/135,703.16
  6. Step 6: Final answer
    x = 113,128.06

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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.