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Finding the Fourth Proportional to 90,793.21, 136,190.42 and 31,630

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Solution

The fourth proportional to 90,793.21, 136,190.42 and 31,630 is: 47,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,793.21 : 136,190.42 = 31,630 : x
  2. Step 2: Convert to fraction form
    90,793.21/136,190.42 = 31,630/x
  3. Step 3: Cross multiply
    90,793.21x = 136,190.42 × 31,630
  4. Step 4: Simplify right side
    90,793.21x = 4,307,702,984.60
  5. Step 5: Solve for x
    x = 4,307,702,984.60/90,793.21
  6. Step 6: Final answer
    x = 47,445.21

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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.