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Finding the Fourth Proportional to 118,996.40, 178,221.23 and 100,035.11

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Solution

The fourth proportional to 118,996.40, 178,221.23 and 100,035.11 is: 149,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996.40 : 178,221.23 = 100,035.11 : x
  2. Step 2: Convert to fraction form
    118,996.40/178,221.23 = 100,035.11/x
  3. Step 3: Cross multiply
    118,996.40x = 178,221.23 × 100,035.11
  4. Step 4: Simplify right side
    118,996.40x = 17,828,380,667.89
  5. Step 5: Solve for x
    x = 17,828,380,667.89/118,996.40
  6. Step 6: Final answer
    x = 149,822.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.