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Finding the Fourth Proportional to 137,788.70, 206,642.01 and 53,561.93

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Solution

The fourth proportional to 137,788.70, 206,642.01 and 53,561.93 is: 80,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,788.70 : 206,642.01 = 53,561.93 : x
  2. Step 2: Convert to fraction form
    137,788.70/206,642.01 = 53,561.93/x
  3. Step 3: Cross multiply
    137,788.70x = 206,642.01 × 53,561.93
  4. Step 4: Simplify right side
    137,788.70x = 11,068,144,874.68
  5. Step 5: Solve for x
    x = 11,068,144,874.68/137,788.70
  6. Step 6: Final answer
    x = 80,326.94

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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.