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Finding the Fourth Proportional to 143,257.16, 214,590.42 and 83,912.91

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Solution

The fourth proportional to 143,257.16, 214,590.42 and 83,912.91 is: 125,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,257.16 : 214,590.42 = 83,912.91 : x
  2. Step 2: Convert to fraction form
    143,257.16/214,590.42 = 83,912.91/x
  3. Step 3: Cross multiply
    143,257.16x = 214,590.42 × 83,912.91
  4. Step 4: Simplify right side
    143,257.16x = 18,006,906,600.32
  5. Step 5: Solve for x
    x = 18,006,906,600.32/143,257.16
  6. Step 6: Final answer
    x = 125,696.38

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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.