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Finding the Fourth Proportional to 172,511.10, 258,523.65 and 137,033.10

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Solution

The fourth proportional to 172,511.10, 258,523.65 and 137,033.10 is: 205,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,511.10 : 258,523.65 = 137,033.10 : x
  2. Step 2: Convert to fraction form
    172,511.10/258,523.65 = 137,033.10/x
  3. Step 3: Cross multiply
    172,511.10x = 258,523.65 × 137,033.10
  4. Step 4: Simplify right side
    172,511.10x = 35,426,297,182.82
  5. Step 5: Solve for x
    x = 35,426,297,182.82/172,511.10
  6. Step 6: Final answer
    x = 205,356.62

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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.