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Finding the Fourth Proportional to 75,717, 104,491.62 and 42,185.16

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Solution

The fourth proportional to 75,717, 104,491.62 and 42,185.16 is: 58,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717 : 104,491.62 = 42,185.16 : x
  2. Step 2: Convert to fraction form
    75,717/104,491.62 = 42,185.16/x
  3. Step 3: Cross multiply
    75,717x = 104,491.62 × 42,185.16
  4. Step 4: Simplify right side
    75,717x = 4,407,995,708.36
  5. Step 5: Solve for x
    x = 4,407,995,708.36/75,717
  6. Step 6: Final answer
    x = 58,216.72

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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.