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Finding the Fourth Proportional to 139,874.55, 193,021.45 and 76,212.82

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Solution

The fourth proportional to 139,874.55, 193,021.45 and 76,212.82 is: 105,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,874.55 : 193,021.45 = 76,212.82 : x
  2. Step 2: Convert to fraction form
    139,874.55/193,021.45 = 76,212.82/x
  3. Step 3: Cross multiply
    139,874.55x = 193,021.45 × 76,212.82
  4. Step 4: Simplify right side
    139,874.55x = 14,710,709,024.99
  5. Step 5: Solve for x
    x = 14,710,709,024.99/139,874.55
  6. Step 6: Final answer
    x = 105,170.73

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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.