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Finding the Fourth Proportional to 85,825.82, 118,433.10 and 48,092.78

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Solution

The fourth proportional to 85,825.82, 118,433.10 and 48,092.78 is: 66,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,825.82 : 118,433.10 = 48,092.78 : x
  2. Step 2: Convert to fraction form
    85,825.82/118,433.10 = 48,092.78/x
  3. Step 3: Cross multiply
    85,825.82x = 118,433.10 × 48,092.78
  4. Step 4: Simplify right side
    85,825.82x = 5,695,777,023.02
  5. Step 5: Solve for x
    x = 5,695,777,023.02/85,825.82
  6. Step 6: Final answer
    x = 66,364.38

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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.