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Finding the Fourth Proportional to 97,220.31, 134,171.82 and 54,213.86

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Solution

The fourth proportional to 97,220.31, 134,171.82 and 54,213.86 is: 74,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220.31 : 134,171.82 = 54,213.86 : x
  2. Step 2: Convert to fraction form
    97,220.31/134,171.82 = 54,213.86/x
  3. Step 3: Cross multiply
    97,220.31x = 134,171.82 × 54,213.86
  4. Step 4: Simplify right side
    97,220.31x = 7,273,971,594.57
  5. Step 5: Solve for x
    x = 7,273,971,594.57/97,220.31
  6. Step 6: Final answer
    x = 74,819.47

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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.