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Finding the Fourth Proportional to 188,617.72, 260,352.78 and 120,817.06

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Solution

The fourth proportional to 188,617.72, 260,352.78 and 120,817.06 is: 166,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,617.72 : 260,352.78 = 120,817.06 : x
  2. Step 2: Convert to fraction form
    188,617.72/260,352.78 = 120,817.06/x
  3. Step 3: Cross multiply
    188,617.72x = 260,352.78 × 120,817.06
  4. Step 4: Simplify right side
    188,617.72x = 31,455,057,442.43
  5. Step 5: Solve for x
    x = 31,455,057,442.43/188,617.72
  6. Step 6: Final answer
    x = 166,766.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.