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Finding the Fourth Proportional to 139,482.27, 192,494.48 and 78,234.21

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Solution

The fourth proportional to 139,482.27, 192,494.48 and 78,234.21 is: 107,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,482.27 : 192,494.48 = 78,234.21 : x
  2. Step 2: Convert to fraction form
    139,482.27/192,494.48 = 78,234.21/x
  3. Step 3: Cross multiply
    139,482.27x = 192,494.48 × 78,234.21
  4. Step 4: Simplify right side
    139,482.27x = 15,059,653,180.99
  5. Step 5: Solve for x
    x = 15,059,653,180.99/139,482.27
  6. Step 6: Final answer
    x = 107,968.23

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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.