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Finding the Fourth Proportional to 132,002.70, 198,004.05 and 117,228.30

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Solution

The fourth proportional to 132,002.70, 198,004.05 and 117,228.30 is: 175,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,002.70 : 198,004.05 = 117,228.30 : x
  2. Step 2: Convert to fraction form
    132,002.70/198,004.05 = 117,228.30/x
  3. Step 3: Cross multiply
    132,002.70x = 198,004.05 × 117,228.30
  4. Step 4: Simplify right side
    132,002.70x = 23,211,678,174.62
  5. Step 5: Solve for x
    x = 23,211,678,174.62/132,002.70
  6. Step 6: Final answer
    x = 175,842.45

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