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Finding the Fourth Proportional to 139,842.14, 192,980.41 and 76,178.57

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Solution

The fourth proportional to 139,842.14, 192,980.41 and 76,178.57 is: 105,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,842.14 : 192,980.41 = 76,178.57 : x
  2. Step 2: Convert to fraction form
    139,842.14/192,980.41 = 76,178.57/x
  3. Step 3: Cross multiply
    139,842.14x = 192,980.41 × 76,178.57
  4. Step 4: Simplify right side
    139,842.14x = 14,700,970,516.47
  5. Step 5: Solve for x
    x = 14,700,970,516.47/139,842.14
  6. Step 6: Final answer
    x = 105,125.47

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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.