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Finding the Fourth Proportional to 73,980.29, 102,067.81 and 42,126.64

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Solution

The fourth proportional to 73,980.29, 102,067.81 and 42,126.64 is: 58,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980.29 : 102,067.81 = 42,126.64 : x
  2. Step 2: Convert to fraction form
    73,980.29/102,067.81 = 42,126.64/x
  3. Step 3: Cross multiply
    73,980.29x = 102,067.81 × 42,126.64
  4. Step 4: Simplify right side
    73,980.29x = 4,299,773,526.97
  5. Step 5: Solve for x
    x = 4,299,773,526.97/73,980.29
  6. Step 6: Final answer
    x = 58,120.53

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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.