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Finding the Fourth Proportional to 73,962, 102,067.56 and 40,428

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Solution

The fourth proportional to 73,962, 102,067.56 and 40,428 is: 55,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,962 : 102,067.56 = 40,428 : x
  2. Step 2: Convert to fraction form
    73,962/102,067.56 = 40,428/x
  3. Step 3: Cross multiply
    73,962x = 102,067.56 × 40,428
  4. Step 4: Simplify right side
    73,962x = 4,126,387,315.68
  5. Step 5: Solve for x
    x = 4,126,387,315.68/73,962
  6. Step 6: Final answer
    x = 55,790.64

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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.