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Finding the Fourth Proportional to 137,775.06, 206,739.14 and 74,594.25

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Solution

The fourth proportional to 137,775.06, 206,739.14 and 74,594.25 is: 111,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,775.06 : 206,739.14 = 74,594.25 : x
  2. Step 2: Convert to fraction form
    137,775.06/206,739.14 = 74,594.25/x
  3. Step 3: Cross multiply
    137,775.06x = 206,739.14 × 74,594.25
  4. Step 4: Simplify right side
    137,775.06x = 15,421,550,720.97
  5. Step 5: Solve for x
    x = 15,421,550,720.97/137,775.06
  6. Step 6: Final answer
    x = 111,932.82

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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.