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Finding the Fourth Proportional to 137,745.60, 206,326.80 and 108,002.40

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Solution

The fourth proportional to 137,745.60, 206,326.80 and 108,002.40 is: 161,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,745.60 : 206,326.80 = 108,002.40 : x
  2. Step 2: Convert to fraction form
    137,745.60/206,326.80 = 108,002.40/x
  3. Step 3: Cross multiply
    137,745.60x = 206,326.80 × 108,002.40
  4. Step 4: Simplify right side
    137,745.60x = 22,283,789,584.32
  5. Step 5: Solve for x
    x = 22,283,789,584.32/137,745.60
  6. Step 6: Final answer
    x = 161,774.96

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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.