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Finding the Fourth Proportional to 139,800, 192,931.68 and 80,187.84

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Solution

The fourth proportional to 139,800, 192,931.68 and 80,187.84 is: 110,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,800 : 192,931.68 = 80,187.84 : x
  2. Step 2: Convert to fraction form
    139,800/192,931.68 = 80,187.84/x
  3. Step 3: Cross multiply
    139,800x = 192,931.68 × 80,187.84
  4. Step 4: Simplify right side
    139,800x = 15,470,774,686.77
  5. Step 5: Solve for x
    x = 15,470,774,686.77/139,800
  6. Step 6: Final answer
    x = 110,663.62

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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.