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Finding the Fourth Proportional to 258,371.82, 356,582.64 and 143,661.90

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Solution

The fourth proportional to 258,371.82, 356,582.64 and 143,661.90 is: 198,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,371.82 : 356,582.64 = 143,661.90 : x
  2. Step 2: Convert to fraction form
    258,371.82/356,582.64 = 143,661.90/x
  3. Step 3: Cross multiply
    258,371.82x = 356,582.64 × 143,661.90
  4. Step 4: Simplify right side
    258,371.82x = 51,227,339,569.42
  5. Step 5: Solve for x
    x = 51,227,339,569.42/258,371.82
  6. Step 6: Final answer
    x = 198,269.84

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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.