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Finding the Fourth Proportional to 137,703.69, 206,389.45 and 71,107.52

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Solution

The fourth proportional to 137,703.69, 206,389.45 and 71,107.52 is: 106,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,703.69 : 206,389.45 = 71,107.52 : x
  2. Step 2: Convert to fraction form
    137,703.69/206,389.45 = 71,107.52/x
  3. Step 3: Cross multiply
    137,703.69x = 206,389.45 × 71,107.52
  4. Step 4: Simplify right side
    137,703.69x = 14,675,840,733.95
  5. Step 5: Solve for x
    x = 14,675,840,733.95/137,703.69
  6. Step 6: Final answer
    x = 106,575.51

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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.