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Finding the Fourth Proportional to 67,878.46, 101,776.77 and 30,431.76

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Solution

The fourth proportional to 67,878.46, 101,776.77 and 30,431.76 is: 45,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878.46 : 101,776.77 = 30,431.76 : x
  2. Step 2: Convert to fraction form
    67,878.46/101,776.77 = 30,431.76/x
  3. Step 3: Cross multiply
    67,878.46x = 101,776.77 × 30,431.76
  4. Step 4: Simplify right side
    67,878.46x = 3,097,246,238.22
  5. Step 5: Solve for x
    x = 3,097,246,238.22/67,878.46
  6. Step 6: Final answer
    x = 45,629.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.