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Finding the Fourth Proportional to 136,861.30, 205,314.63 and 48,091.78

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Solution

The fourth proportional to 136,861.30, 205,314.63 and 48,091.78 is: 72,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,861.30 : 205,314.63 = 48,091.78 : x
  2. Step 2: Convert to fraction form
    136,861.30/205,314.63 = 48,091.78/x
  3. Step 3: Cross multiply
    136,861.30x = 205,314.63 × 48,091.78
  4. Step 4: Simplify right side
    136,861.30x = 9,873,946,016.74
  5. Step 5: Solve for x
    x = 9,873,946,016.74/136,861.30
  6. Step 6: Final answer
    x = 72,145.64

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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.