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Finding the Fourth Proportional to 76,202.42, 105,163.11 and 45,987.26

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Solution

The fourth proportional to 76,202.42, 105,163.11 and 45,987.26 is: 63,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.42 : 105,163.11 = 45,987.26 : x
  2. Step 2: Convert to fraction form
    76,202.42/105,163.11 = 45,987.26/x
  3. Step 3: Cross multiply
    76,202.42x = 105,163.11 × 45,987.26
  4. Step 4: Simplify right side
    76,202.42x = 4,836,162,756.16
  5. Step 5: Solve for x
    x = 4,836,162,756.16/76,202.42
  6. Step 6: Final answer
    x = 63,464.69

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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.