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Finding the Fourth Proportional to 206,937.75, 310,481.55 and 101,830.53

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Solution

The fourth proportional to 206,937.75, 310,481.55 and 101,830.53 is: 152,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,937.75 : 310,481.55 = 101,830.53 : x
  2. Step 2: Convert to fraction form
    206,937.75/310,481.55 = 101,830.53/x
  3. Step 3: Cross multiply
    206,937.75x = 310,481.55 × 101,830.53
  4. Step 4: Simplify right side
    206,937.75x = 31,616,500,791.72
  5. Step 5: Solve for x
    x = 31,616,500,791.72/206,937.75
  6. Step 6: Final answer
    x = 152,782.66

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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.