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Finding the Fourth Proportional to 139,948.80, 193,129.44 and 76,286.64

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Solution

The fourth proportional to 139,948.80, 193,129.44 and 76,286.64 is: 105,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,948.80 : 193,129.44 = 76,286.64 : x
  2. Step 2: Convert to fraction form
    139,948.80/193,129.44 = 76,286.64/x
  3. Step 3: Cross multiply
    139,948.80x = 193,129.44 × 76,286.64
  4. Step 4: Simplify right side
    139,948.80x = 14,733,196,062.68
  5. Step 5: Solve for x
    x = 14,733,196,062.68/139,948.80
  6. Step 6: Final answer
    x = 105,275.62

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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.