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Finding the Fourth Proportional to 205,709.60, 308,503.92 and 87,380

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Solution

The fourth proportional to 205,709.60, 308,503.92 and 87,380 is: 131,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,709.60 : 308,503.92 = 87,380 : x
  2. Step 2: Convert to fraction form
    205,709.60/308,503.92 = 87,380/x
  3. Step 3: Cross multiply
    205,709.60x = 308,503.92 × 87,380
  4. Step 4: Simplify right side
    205,709.60x = 26,957,072,529.60
  5. Step 5: Solve for x
    x = 26,957,072,529.60/205,709.60
  6. Step 6: Final answer
    x = 131,044.31

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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.