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Finding the Fourth Proportional to 76,203.22, 105,161.30 and 42,212.24

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Solution

The fourth proportional to 76,203.22, 105,161.30 and 42,212.24 is: 58,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.22 : 105,161.30 = 42,212.24 : x
  2. Step 2: Convert to fraction form
    76,203.22/105,161.30 = 42,212.24/x
  3. Step 3: Cross multiply
    76,203.22x = 105,161.30 × 42,212.24
  4. Step 4: Simplify right side
    76,203.22x = 4,439,094,034.31
  5. Step 5: Solve for x
    x = 4,439,094,034.31/76,203.22
  6. Step 6: Final answer
    x = 58,253.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.