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Finding the Fourth Proportional to 139,910.46, 193,076.10 and 76,248.09

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Solution

The fourth proportional to 139,910.46, 193,076.10 and 76,248.09 is: 105,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,910.46 : 193,076.10 = 76,248.09 : x
  2. Step 2: Convert to fraction form
    139,910.46/193,076.10 = 76,248.09/x
  3. Step 3: Cross multiply
    139,910.46x = 193,076.10 × 76,248.09
  4. Step 4: Simplify right side
    139,910.46x = 14,721,683,849.65
  5. Step 5: Solve for x
    x = 14,721,683,849.65/139,910.46
  6. Step 6: Final answer
    x = 105,222.18

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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.