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Finding the Fourth Proportional to 258,866.80, 388,299.90 and 81,389.32

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Solution

The fourth proportional to 258,866.80, 388,299.90 and 81,389.32 is: 122,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,866.80 : 388,299.90 = 81,389.32 : x
  2. Step 2: Convert to fraction form
    258,866.80/388,299.90 = 81,389.32/x
  3. Step 3: Cross multiply
    258,866.80x = 388,299.90 × 81,389.32
  4. Step 4: Simplify right side
    258,866.80x = 31,603,464,817.07
  5. Step 5: Solve for x
    x = 31,603,464,817.07/258,866.80
  6. Step 6: Final answer
    x = 122,083.89

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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.