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Finding the Fourth Proportional to 81,677.46, 122,530.47 and 37,308.70

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Solution

The fourth proportional to 81,677.46, 122,530.47 and 37,308.70 is: 55,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,677.46 : 122,530.47 = 37,308.70 : x
  2. Step 2: Convert to fraction form
    81,677.46/122,530.47 = 37,308.70/x
  3. Step 3: Cross multiply
    81,677.46x = 122,530.47 × 37,308.70
  4. Step 4: Simplify right side
    81,677.46x = 4,571,452,769.21
  5. Step 5: Solve for x
    x = 4,571,452,769.21/81,677.46
  6. Step 6: Final answer
    x = 55,969.57

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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.