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Finding the Fourth Proportional to 77,469.48, 106,899.08 and 43,470.95

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Solution

The fourth proportional to 77,469.48, 106,899.08 and 43,470.95 is: 59,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,469.48 : 106,899.08 = 43,470.95 : x
  2. Step 2: Convert to fraction form
    77,469.48/106,899.08 = 43,470.95/x
  3. Step 3: Cross multiply
    77,469.48x = 106,899.08 × 43,470.95
  4. Step 4: Simplify right side
    77,469.48x = 4,647,003,809.88
  5. Step 5: Solve for x
    x = 4,647,003,809.88/77,469.48
  6. Step 6: Final answer
    x = 59,984.96

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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.