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Finding the Fourth Proportional to 188,285.16, 259,737.45 and 120,230.58

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Solution

The fourth proportional to 188,285.16, 259,737.45 and 120,230.58 is: 165,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,285.16 : 259,737.45 = 120,230.58 : x
  2. Step 2: Convert to fraction form
    188,285.16/259,737.45 = 120,230.58/x
  3. Step 3: Cross multiply
    188,285.16x = 259,737.45 × 120,230.58
  4. Step 4: Simplify right side
    188,285.16x = 31,228,384,261.22
  5. Step 5: Solve for x
    x = 31,228,384,261.22/188,285.16
  6. Step 6: Final answer
    x = 165,856.85

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1.5x scale

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.