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Finding the Fourth Proportional to 149,861.76, 206,808.96 and 86,197.92

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Solution

The fourth proportional to 149,861.76, 206,808.96 and 86,197.92 is: 118,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,861.76 : 206,808.96 = 86,197.92 : x
  2. Step 2: Convert to fraction form
    149,861.76/206,808.96 = 86,197.92/x
  3. Step 3: Cross multiply
    149,861.76x = 206,808.96 × 86,197.92
  4. Step 4: Simplify right side
    149,861.76x = 17,826,502,189.36
  5. Step 5: Solve for x
    x = 17,826,502,189.36/149,861.76
  6. Step 6: Final answer
    x = 118,952.97

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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.