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Finding the Fourth Proportional to 85,090, 117,424.20 and 47,363.44

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Solution

The fourth proportional to 85,090, 117,424.20 and 47,363.44 is: 65,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,090 : 117,424.20 = 47,363.44 : x
  2. Step 2: Convert to fraction form
    85,090/117,424.20 = 47,363.44/x
  3. Step 3: Cross multiply
    85,090x = 117,424.20 × 47,363.44
  4. Step 4: Simplify right side
    85,090x = 5,561,614,051.25
  5. Step 5: Solve for x
    x = 5,561,614,051.25/85,090
  6. Step 6: Final answer
    x = 65,361.55

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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.