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Finding the Fourth Proportional to 258,133.80, 356,229.18 and 143,422.95

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Solution

The fourth proportional to 258,133.80, 356,229.18 and 143,422.95 is: 197,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,133.80 : 356,229.18 = 143,422.95 : x
  2. Step 2: Convert to fraction form
    258,133.80/356,229.18 = 143,422.95/x
  3. Step 3: Cross multiply
    258,133.80x = 356,229.18 × 143,422.95
  4. Step 4: Simplify right side
    258,133.80x = 51,091,439,871.68
  5. Step 5: Solve for x
    x = 51,091,439,871.68/258,133.80
  6. Step 6: Final answer
    x = 197,926.19

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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.