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Finding the Fourth Proportional to 81,415.10, 122,122.65 and 60,419.90

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Solution

The fourth proportional to 81,415.10, 122,122.65 and 60,419.90 is: 90,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,415.10 : 122,122.65 = 60,419.90 : x
  2. Step 2: Convert to fraction form
    81,415.10/122,122.65 = 60,419.90/x
  3. Step 3: Cross multiply
    81,415.10x = 122,122.65 × 60,419.90
  4. Step 4: Simplify right side
    81,415.10x = 7,378,638,300.74
  5. Step 5: Solve for x
    x = 7,378,638,300.74/81,415.10
  6. Step 6: Final answer
    x = 90,629.85

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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.