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Finding the Fourth Proportional to 172,807.80, 258,774.30 and 137,815.80

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Solution

The fourth proportional to 172,807.80, 258,774.30 and 137,815.80 is: 206,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,807.80 : 258,774.30 = 137,815.80 : x
  2. Step 2: Convert to fraction form
    172,807.80/258,774.30 = 137,815.80/x
  3. Step 3: Cross multiply
    172,807.80x = 258,774.30 × 137,815.80
  4. Step 4: Simplify right side
    172,807.80x = 35,663,187,173.94
  5. Step 5: Solve for x
    x = 35,663,187,173.94/172,807.80
  6. Step 6: Final answer
    x = 206,374.87

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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.