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Finding the Fourth Proportional to 205,712.60, 308,508.42 and 87,383

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Solution

The fourth proportional to 205,712.60, 308,508.42 and 87,383 is: 131,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712.60 : 308,508.42 = 87,383 : x
  2. Step 2: Convert to fraction form
    205,712.60/308,508.42 = 87,383/x
  3. Step 3: Cross multiply
    205,712.60x = 308,508.42 × 87,383
  4. Step 4: Simplify right side
    205,712.60x = 26,958,391,264.86
  5. Step 5: Solve for x
    x = 26,958,391,264.86/205,712.60
  6. Step 6: Final answer
    x = 131,048.81

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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.