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Finding the Fourth Proportional to 258,666.80, 388,016.52 and 81,180.80

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Solution

The fourth proportional to 258,666.80, 388,016.52 and 81,180.80 is: 121,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,666.80 : 388,016.52 = 81,180.80 : x
  2. Step 2: Convert to fraction form
    258,666.80/388,016.52 = 81,180.80/x
  3. Step 3: Cross multiply
    258,666.80x = 388,016.52 × 81,180.80
  4. Step 4: Simplify right side
    258,666.80x = 31,499,491,506.82
  5. Step 5: Solve for x
    x = 31,499,491,506.82/258,666.80
  6. Step 6: Final answer
    x = 121,776.32

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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.