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Finding the Fourth Proportional to 139,378.64, 192,344.16 and 75,717.44

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Solution

The fourth proportional to 139,378.64, 192,344.16 and 75,717.44 is: 104,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,378.64 : 192,344.16 = 75,717.44 : x
  2. Step 2: Convert to fraction form
    139,378.64/192,344.16 = 75,717.44/x
  3. Step 3: Cross multiply
    139,378.64x = 192,344.16 × 75,717.44
  4. Step 4: Simplify right side
    139,378.64x = 14,563,807,394.15
  5. Step 5: Solve for x
    x = 14,563,807,394.15/139,378.64
  6. Step 6: Final answer
    x = 104,490.96

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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.