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Finding the Fourth Proportional to 205,707.84, 308,737.08 and 81,136.32

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Solution

The fourth proportional to 205,707.84, 308,737.08 and 81,136.32 is: 121,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.84 : 308,737.08 = 81,136.32 : x
  2. Step 2: Convert to fraction form
    205,707.84/308,737.08 = 81,136.32/x
  3. Step 3: Cross multiply
    205,707.84x = 308,737.08 × 81,136.32
  4. Step 4: Simplify right side
    205,707.84x = 25,049,790,518.75
  5. Step 5: Solve for x
    x = 25,049,790,518.75/205,707.84
  6. Step 6: Final answer
    x = 121,773.63

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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.