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Finding the Fourth Proportional to 85,539, 118,043.82 and 47,820.54

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Solution

The fourth proportional to 85,539, 118,043.82 and 47,820.54 is: 65,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,539 : 118,043.82 = 47,820.54 : x
  2. Step 2: Convert to fraction form
    85,539/118,043.82 = 47,820.54/x
  3. Step 3: Cross multiply
    85,539x = 118,043.82 × 47,820.54
  4. Step 4: Simplify right side
    85,539x = 5,644,919,216.06
  5. Step 5: Solve for x
    x = 5,644,919,216.06/85,539
  6. Step 6: Final answer
    x = 65,992.35

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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.