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Finding the Fourth Proportional to 206,856.60, 285,166.62 and 138,751.80

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Solution

The fourth proportional to 206,856.60, 285,166.62 and 138,751.80 is: 191,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.60 : 285,166.62 = 138,751.80 : x
  2. Step 2: Convert to fraction form
    206,856.60/285,166.62 = 138,751.80/x
  3. Step 3: Cross multiply
    206,856.60x = 285,166.62 × 138,751.80
  4. Step 4: Simplify right side
    206,856.60x = 39,567,381,824.92
  5. Step 5: Solve for x
    x = 39,567,381,824.92/206,856.60
  6. Step 6: Final answer
    x = 191,279.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.