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Finding the Fourth Proportional to 205,642.50, 308,509.11 and 87,414.90

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Solution

The fourth proportional to 205,642.50, 308,509.11 and 87,414.90 is: 131,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,642.50 : 308,509.11 = 87,414.90 : x
  2. Step 2: Convert to fraction form
    205,642.50/308,509.11 = 87,414.90/x
  3. Step 3: Cross multiply
    205,642.50x = 308,509.11 × 87,414.90
  4. Step 4: Simplify right side
    205,642.50x = 26,968,292,999.74
  5. Step 5: Solve for x
    x = 26,968,292,999.74/205,642.50
  6. Step 6: Final answer
    x = 131,141.63

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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.