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Finding the Fourth Proportional to 205,414.88, 307,918.20 and 142,954.16

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Solution

The fourth proportional to 205,414.88, 307,918.20 and 142,954.16 is: 214,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.88 : 307,918.20 = 142,954.16 : x
  2. Step 2: Convert to fraction form
    205,414.88/307,918.20 = 142,954.16/x
  3. Step 3: Cross multiply
    205,414.88x = 307,918.20 × 142,954.16
  4. Step 4: Simplify right side
    205,414.88x = 44,018,187,629.71
  5. Step 5: Solve for x
    x = 44,018,187,629.71/205,414.88
  6. Step 6: Final answer
    x = 214,289.19

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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.