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Finding the Fourth Proportional to 77,383.50, 106,789.23 and 45,571.97

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Solution

The fourth proportional to 77,383.50, 106,789.23 and 45,571.97 is: 62,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.50 : 106,789.23 = 45,571.97 : x
  2. Step 2: Convert to fraction form
    77,383.50/106,789.23 = 45,571.97/x
  3. Step 3: Cross multiply
    77,383.50x = 106,789.23 × 45,571.97
  4. Step 4: Simplify right side
    77,383.50x = 4,866,595,051.94
  5. Step 5: Solve for x
    x = 4,866,595,051.94/77,383.50
  6. Step 6: Final answer
    x = 62,889.31

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1.5x scale

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.