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Finding the Fourth Proportional to 139,960.80, 193,146 and 76,298.64

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Solution

The fourth proportional to 139,960.80, 193,146 and 76,298.64 is: 105,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,960.80 : 193,146 = 76,298.64 : x
  2. Step 2: Convert to fraction form
    139,960.80/193,146 = 76,298.64/x
  3. Step 3: Cross multiply
    139,960.80x = 193,146 × 76,298.64
  4. Step 4: Simplify right side
    139,960.80x = 14,736,777,121.44
  5. Step 5: Solve for x
    x = 14,736,777,121.44/139,960.80
  6. Step 6: Final answer
    x = 105,292.18

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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.