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Finding the Fourth Proportional to 91,978.08, 126,930.86 and 56,163.12

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Solution

The fourth proportional to 91,978.08, 126,930.86 and 56,163.12 is: 77,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,978.08 : 126,930.86 = 56,163.12 : x
  2. Step 2: Convert to fraction form
    91,978.08/126,930.86 = 56,163.12/x
  3. Step 3: Cross multiply
    91,978.08x = 126,930.86 × 56,163.12
  4. Step 4: Simplify right side
    91,978.08x = 7,128,833,121.88
  5. Step 5: Solve for x
    x = 7,128,833,121.88/91,978.08
  6. Step 6: Final answer
    x = 77,505.78

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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.