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Finding the Fourth Proportional to 137,208.72, 205,859.70 and 74,034.84

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Solution

The fourth proportional to 137,208.72, 205,859.70 and 74,034.84 is: 111,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208.72 : 205,859.70 = 74,034.84 : x
  2. Step 2: Convert to fraction form
    137,208.72/205,859.70 = 74,034.84/x
  3. Step 3: Cross multiply
    137,208.72x = 205,859.70 × 74,034.84
  4. Step 4: Simplify right side
    137,208.72x = 15,240,789,951.95
  5. Step 5: Solve for x
    x = 15,240,789,951.95/137,208.72
  6. Step 6: Final answer
    x = 111,077.42

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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.