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Finding the Fourth Proportional to 139,658.64, 192,739.92 and 78,403.44

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Solution

The fourth proportional to 139,658.64, 192,739.92 and 78,403.44 is: 108,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,658.64 : 192,739.92 = 78,403.44 : x
  2. Step 2: Convert to fraction form
    139,658.64/192,739.92 = 78,403.44/x
  3. Step 3: Cross multiply
    139,658.64x = 192,739.92 × 78,403.44
  4. Step 4: Simplify right side
    139,658.64x = 15,111,472,753.32
  5. Step 5: Solve for x
    x = 15,111,472,753.32/139,658.64
  6. Step 6: Final answer
    x = 108,202.92

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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.