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Finding the Fourth Proportional to 258,523.30, 387,821.40 and 81,011.80

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Solution

The fourth proportional to 258,523.30, 387,821.40 and 81,011.80 is: 121,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,523.30 : 387,821.40 = 81,011.80 : x
  2. Step 2: Convert to fraction form
    258,523.30/387,821.40 = 81,011.80/x
  3. Step 3: Cross multiply
    258,523.30x = 387,821.40 × 81,011.80
  4. Step 4: Simplify right side
    258,523.30x = 31,418,109,692.52
  5. Step 5: Solve for x
    x = 31,418,109,692.52/258,523.30
  6. Step 6: Final answer
    x = 121,529.12

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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.