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Finding the Fourth Proportional to 258,252.84, 387,496.12 and 131,827.80

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Solution

The fourth proportional to 258,252.84, 387,496.12 and 131,827.80 is: 197,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,252.84 : 387,496.12 = 131,827.80 : x
  2. Step 2: Convert to fraction form
    258,252.84/387,496.12 = 131,827.80/x
  3. Step 3: Cross multiply
    258,252.84x = 387,496.12 × 131,827.80
  4. Step 4: Simplify right side
    258,252.84x = 51,082,761,008.14
  5. Step 5: Solve for x
    x = 51,082,761,008.14/258,252.84
  6. Step 6: Final answer
    x = 197,801.35

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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.