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Finding the Fourth Proportional to 91,046.84, 125,709.37 and 75,978.41

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Solution

The fourth proportional to 91,046.84, 125,709.37 and 75,978.41 is: 104,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,046.84 : 125,709.37 = 75,978.41 : x
  2. Step 2: Convert to fraction form
    91,046.84/125,709.37 = 75,978.41/x
  3. Step 3: Cross multiply
    91,046.84x = 125,709.37 × 75,978.41
  4. Step 4: Simplify right side
    91,046.84x = 9,551,197,236.21
  5. Step 5: Solve for x
    x = 9,551,197,236.21/91,046.84
  6. Step 6: Final answer
    x = 104,904.22

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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.