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Finding the Fourth Proportional to 258,833.88, 388,053.18 and 81,238.14

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Solution

The fourth proportional to 258,833.88, 388,053.18 and 81,238.14 is: 121,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,833.88 : 388,053.18 = 81,238.14 : x
  2. Step 2: Convert to fraction form
    258,833.88/388,053.18 = 81,238.14/x
  3. Step 3: Cross multiply
    258,833.88x = 388,053.18 × 81,238.14
  4. Step 4: Simplify right side
    258,833.88x = 31,524,718,564.29
  5. Step 5: Solve for x
    x = 31,524,718,564.29/258,833.88
  6. Step 6: Final answer
    x = 121,795.18

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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.