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Finding the Fourth Proportional to 205,998.66, 309,136.50 and 72,878.40

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Solution

The fourth proportional to 205,998.66, 309,136.50 and 72,878.40 is: 109,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,998.66 : 309,136.50 = 72,878.40 : x
  2. Step 2: Convert to fraction form
    205,998.66/309,136.50 = 72,878.40/x
  3. Step 3: Cross multiply
    205,998.66x = 309,136.50 × 72,878.40
  4. Step 4: Simplify right side
    205,998.66x = 22,529,373,501.60
  5. Step 5: Solve for x
    x = 22,529,373,501.60/205,998.66
  6. Step 6: Final answer
    x = 109,366.60

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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.