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Finding the Fourth Proportional to 139,874.80, 193,021.80 and 76,213.07

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Solution

The fourth proportional to 139,874.80, 193,021.80 and 76,213.07 is: 105,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,874.80 : 193,021.80 = 76,213.07 : x
  2. Step 2: Convert to fraction form
    139,874.80/193,021.80 = 76,213.07/x
  3. Step 3: Cross multiply
    139,874.80x = 193,021.80 × 76,213.07
  4. Step 4: Simplify right side
    139,874.80x = 14,710,783,954.93
  5. Step 5: Solve for x
    x = 14,710,783,954.93/139,874.80
  6. Step 6: Final answer
    x = 105,171.08

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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.