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Finding the Fourth Proportional to 76,163.92, 114,272.88 and 34,040.12

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Solution

The fourth proportional to 76,163.92, 114,272.88 and 34,040.12 is: 51,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,163.92 : 114,272.88 = 34,040.12 : x
  2. Step 2: Convert to fraction form
    76,163.92/114,272.88 = 34,040.12/x
  3. Step 3: Cross multiply
    76,163.92x = 114,272.88 × 34,040.12
  4. Step 4: Simplify right side
    76,163.92x = 3,889,862,547.95
  5. Step 5: Solve for x
    x = 3,889,862,547.95/76,163.92
  6. Step 6: Final answer
    x = 51,072.25

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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.