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Finding the Fourth Proportional to 258,726, 388,090.77 and 98,758.80

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Solution

The fourth proportional to 258,726, 388,090.77 and 98,758.80 is: 148,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,726 : 388,090.77 = 98,758.80 : x
  2. Step 2: Convert to fraction form
    258,726/388,090.77 = 98,758.80/x
  3. Step 3: Cross multiply
    258,726x = 388,090.77 × 98,758.80
  4. Step 4: Simplify right side
    258,726x = 38,327,378,736.28
  5. Step 5: Solve for x
    x = 38,327,378,736.28/258,726
  6. Step 6: Final answer
    x = 148,138.88

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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.