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Finding the Fourth Proportional to 137,851.70, 206,777.55 and 102,859.70

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Solution

The fourth proportional to 137,851.70, 206,777.55 and 102,859.70 is: 154,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.70 : 206,777.55 = 102,859.70 : x
  2. Step 2: Convert to fraction form
    137,851.70/206,777.55 = 102,859.70/x
  3. Step 3: Cross multiply
    137,851.70x = 206,777.55 × 102,859.70
  4. Step 4: Simplify right side
    137,851.70x = 21,269,076,759.74
  5. Step 5: Solve for x
    x = 21,269,076,759.74/137,851.70
  6. Step 6: Final answer
    x = 154,289.55

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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.