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Finding the Fourth Proportional to 206,847.90, 285,440.49 and 114,962.91

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Solution

The fourth proportional to 206,847.90, 285,440.49 and 114,962.91 is: 158,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847.90 : 285,440.49 = 114,962.91 : x
  2. Step 2: Convert to fraction form
    206,847.90/285,440.49 = 114,962.91/x
  3. Step 3: Cross multiply
    206,847.90x = 285,440.49 × 114,962.91
  4. Step 4: Simplify right side
    206,847.90x = 32,815,069,362.23
  5. Step 5: Solve for x
    x = 32,815,069,362.23/206,847.90
  6. Step 6: Final answer
    x = 158,643.47

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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.