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Finding the Fourth Proportional to 206,611.78, 285,102.36 and 115,977.72

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Solution

The fourth proportional to 206,611.78, 285,102.36 and 115,977.72 is: 160,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,611.78 : 285,102.36 = 115,977.72 : x
  2. Step 2: Convert to fraction form
    206,611.78/285,102.36 = 115,977.72/x
  3. Step 3: Cross multiply
    206,611.78x = 285,102.36 × 115,977.72
  4. Step 4: Simplify right side
    206,611.78x = 33,065,521,887.25
  5. Step 5: Solve for x
    x = 33,065,521,887.25/206,611.78
  6. Step 6: Final answer
    x = 160,036.96

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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.