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Finding the Fourth Proportional to 205,156.53, 307,879.34 and 72,047.16

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Solution

The fourth proportional to 205,156.53, 307,879.34 and 72,047.16 is: 108,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,156.53 : 307,879.34 = 72,047.16 : x
  2. Step 2: Convert to fraction form
    205,156.53/307,879.34 = 72,047.16/x
  3. Step 3: Cross multiply
    205,156.53x = 307,879.34 × 72,047.16
  4. Step 4: Simplify right side
    205,156.53x = 22,181,831,709.44
  5. Step 5: Solve for x
    x = 22,181,831,709.44/205,156.53
  6. Step 6: Final answer
    x = 108,121.50

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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.