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Finding the Fourth Proportional to 139,934.70, 193,102.74 and 76,271.94

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Solution

The fourth proportional to 139,934.70, 193,102.74 and 76,271.94 is: 105,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,934.70 : 193,102.74 = 76,271.94 : x
  2. Step 2: Convert to fraction form
    139,934.70/193,102.74 = 76,271.94/x
  3. Step 3: Cross multiply
    139,934.70x = 193,102.74 × 76,271.94
  4. Step 4: Simplify right side
    139,934.70x = 14,728,320,599.12
  5. Step 5: Solve for x
    x = 14,728,320,599.12/139,934.70
  6. Step 6: Final answer
    x = 105,251.38

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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.