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Finding the Fourth Proportional to 137,620.76, 206,483.72 and 53,440.02

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Solution

The fourth proportional to 137,620.76, 206,483.72 and 53,440.02 is: 80,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,620.76 : 206,483.72 = 53,440.02 : x
  2. Step 2: Convert to fraction form
    137,620.76/206,483.72 = 53,440.02/x
  3. Step 3: Cross multiply
    137,620.76x = 206,483.72 × 53,440.02
  4. Step 4: Simplify right side
    137,620.76x = 11,034,493,859.27
  5. Step 5: Solve for x
    x = 11,034,493,859.27/137,620.76
  6. Step 6: Final answer
    x = 80,180.45

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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.