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Finding the Fourth Proportional to 258,729, 388,095.27 and 98,761.80

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Solution

The fourth proportional to 258,729, 388,095.27 and 98,761.80 is: 148,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,729 : 388,095.27 = 98,761.80 : x
  2. Step 2: Convert to fraction form
    258,729/388,095.27 = 98,761.80/x
  3. Step 3: Cross multiply
    258,729x = 388,095.27 × 98,761.80
  4. Step 4: Simplify right side
    258,729x = 38,328,987,436.69
  5. Step 5: Solve for x
    x = 38,328,987,436.69/258,729
  6. Step 6: Final answer
    x = 148,143.38

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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.