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Finding the Fourth Proportional to 137,619.22, 206,363.76 and 53,419.72

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Solution

The fourth proportional to 137,619.22, 206,363.76 and 53,419.72 is: 80,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619.22 : 206,363.76 = 53,419.72 : x
  2. Step 2: Convert to fraction form
    137,619.22/206,363.76 = 53,419.72/x
  3. Step 3: Cross multiply
    137,619.22x = 206,363.76 × 53,419.72
  4. Step 4: Simplify right side
    137,619.22x = 11,023,894,277.35
  5. Step 5: Solve for x
    x = 11,023,894,277.35/137,619.22
  6. Step 6: Final answer
    x = 80,104.32

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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.