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Finding the Fourth Proportional to 91,470.78, 126,229.58 and 51,194

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Solution

The fourth proportional to 91,470.78, 126,229.58 and 51,194 is: 70,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,470.78 : 126,229.58 = 51,194 : x
  2. Step 2: Convert to fraction form
    91,470.78/126,229.58 = 51,194/x
  3. Step 3: Cross multiply
    91,470.78x = 126,229.58 × 51,194
  4. Step 4: Simplify right side
    91,470.78x = 6,462,197,118.52
  5. Step 5: Solve for x
    x = 6,462,197,118.52/91,470.78
  6. Step 6: Final answer
    x = 70,647.67

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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.