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Finding the Fourth Proportional to 205,611.50, 283,724.80 and 113,728.79

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Solution

The fourth proportional to 205,611.50, 283,724.80 and 113,728.79 is: 156,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.50 : 283,724.80 = 113,728.79 : x
  2. Step 2: Convert to fraction form
    205,611.50/283,724.80 = 113,728.79/x
  3. Step 3: Cross multiply
    205,611.50x = 283,724.80 × 113,728.79
  4. Step 4: Simplify right side
    205,611.50x = 32,267,678,621.98
  5. Step 5: Solve for x
    x = 32,267,678,621.98/205,611.50
  6. Step 6: Final answer
    x = 156,935.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.