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Finding the Fourth Proportional to 73,992.60, 102,090.11 and 42,160.82

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Solution

The fourth proportional to 73,992.60, 102,090.11 and 42,160.82 is: 58,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,992.60 : 102,090.11 = 42,160.82 : x
  2. Step 2: Convert to fraction form
    73,992.60/102,090.11 = 42,160.82/x
  3. Step 3: Cross multiply
    73,992.60x = 102,090.11 × 42,160.82
  4. Step 4: Simplify right side
    73,992.60x = 4,304,202,030.24
  5. Step 5: Solve for x
    x = 4,304,202,030.24/73,992.60
  6. Step 6: Final answer
    x = 58,170.71

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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.