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Finding the Fourth Proportional to 140,632.61, 194,072.31 and 76,101.80

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Solution

The fourth proportional to 140,632.61, 194,072.31 and 76,101.80 is: 105,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,632.61 : 194,072.31 = 76,101.80 : x
  2. Step 2: Convert to fraction form
    140,632.61/194,072.31 = 76,101.80/x
  3. Step 3: Cross multiply
    140,632.61x = 194,072.31 × 76,101.80
  4. Step 4: Simplify right side
    140,632.61x = 14,769,252,606.34
  5. Step 5: Solve for x
    x = 14,769,252,606.34/140,632.61
  6. Step 6: Final answer
    x = 105,020.11

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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.