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Finding the Fourth Proportional to 214,391.91, 295,813.52 and 123,728.61

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Solution

The fourth proportional to 214,391.91, 295,813.52 and 123,728.61 is: 170,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,391.91 : 295,813.52 = 123,728.61 : x
  2. Step 2: Convert to fraction form
    214,391.91/295,813.52 = 123,728.61/x
  3. Step 3: Cross multiply
    214,391.91x = 295,813.52 × 123,728.61
  4. Step 4: Simplify right side
    214,391.91x = 36,600,596,603.45
  5. Step 5: Solve for x
    x = 36,600,596,603.45/214,391.91
  6. Step 6: Final answer
    x = 170,718.18

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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.