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Finding the Fourth Proportional to 81,661.50, 122,508.03 and 28,355.40

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Solution

The fourth proportional to 81,661.50, 122,508.03 and 28,355.40 is: 42,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.50 : 122,508.03 = 28,355.40 : x
  2. Step 2: Convert to fraction form
    81,661.50/122,508.03 = 28,355.40/x
  3. Step 3: Cross multiply
    81,661.50x = 122,508.03 × 28,355.40
  4. Step 4: Simplify right side
    81,661.50x = 3,473,764,193.86
  5. Step 5: Solve for x
    x = 3,473,764,193.86/81,661.50
  6. Step 6: Final answer
    x = 42,538.58

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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.