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Finding the Fourth Proportional to 258,686.96, 356,980.62 and 143,963.78

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Solution

The fourth proportional to 258,686.96, 356,980.62 and 143,963.78 is: 198,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,686.96 : 356,980.62 = 143,963.78 : x
  2. Step 2: Convert to fraction form
    258,686.96/356,980.62 = 143,963.78/x
  3. Step 3: Cross multiply
    258,686.96x = 356,980.62 × 143,963.78
  4. Step 4: Simplify right side
    258,686.96x = 51,392,279,441.94
  5. Step 5: Solve for x
    x = 51,392,279,441.94/258,686.96
  6. Step 6: Final answer
    x = 198,665.91

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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.