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Finding the Fourth Proportional to 139,874.58, 193,024.49 and 76,212.90

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Solution

The fourth proportional to 139,874.58, 193,024.49 and 76,212.90 is: 105,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,874.58 : 193,024.49 = 76,212.90 : x
  2. Step 2: Convert to fraction form
    139,874.58/193,024.49 = 76,212.90/x
  3. Step 3: Cross multiply
    139,874.58x = 193,024.49 × 76,212.90
  4. Step 4: Simplify right side
    139,874.58x = 14,710,956,153.92
  5. Step 5: Solve for x
    x = 14,710,956,153.92/139,874.58
  6. Step 6: Final answer
    x = 105,172.48

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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.