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Finding the Fourth Proportional to 137,395.72, 206,086.74 and 80,501.80

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Solution

The fourth proportional to 137,395.72, 206,086.74 and 80,501.80 is: 120,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395.72 : 206,086.74 = 80,501.80 : x
  2. Step 2: Convert to fraction form
    137,395.72/206,086.74 = 80,501.80/x
  3. Step 3: Cross multiply
    137,395.72x = 206,086.74 × 80,501.80
  4. Step 4: Simplify right side
    137,395.72x = 16,590,353,526.13
  5. Step 5: Solve for x
    x = 16,590,353,526.13/137,395.72
  6. Step 6: Final answer
    x = 120,748.69

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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.