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Finding the Fourth Proportional to 139,658.76, 192,733.14 and 76,000.66

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Solution

The fourth proportional to 139,658.76, 192,733.14 and 76,000.66 is: 104,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,658.76 : 192,733.14 = 76,000.66 : x
  2. Step 2: Convert to fraction form
    139,658.76/192,733.14 = 76,000.66/x
  3. Step 3: Cross multiply
    139,658.76x = 192,733.14 × 76,000.66
  4. Step 4: Simplify right side
    139,658.76x = 14,647,845,843.87
  5. Step 5: Solve for x
    x = 14,647,845,843.87/139,658.76
  6. Step 6: Final answer
    x = 104,883.12

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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.