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Finding the Fourth Proportional to 92,213.90, 138,450.45 and 57,221.90

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Solution

The fourth proportional to 92,213.90, 138,450.45 and 57,221.90 is: 85,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.90 : 138,450.45 = 57,221.90 : x
  2. Step 2: Convert to fraction form
    92,213.90/138,450.45 = 57,221.90/x
  3. Step 3: Cross multiply
    92,213.90x = 138,450.45 × 57,221.90
  4. Step 4: Simplify right side
    92,213.90x = 7,922,397,804.86
  5. Step 5: Solve for x
    x = 7,922,397,804.86/92,213.90
  6. Step 6: Final answer
    x = 85,913.27

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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.