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Finding the Fourth Proportional to 77,174.74, 106,441.05 and 51,673

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Solution

The fourth proportional to 77,174.74, 106,441.05 and 51,673 is: 71,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,174.74 : 106,441.05 = 51,673 : x
  2. Step 2: Convert to fraction form
    77,174.74/106,441.05 = 51,673/x
  3. Step 3: Cross multiply
    77,174.74x = 106,441.05 × 51,673
  4. Step 4: Simplify right side
    77,174.74x = 5,500,128,376.65
  5. Step 5: Solve for x
    x = 5,500,128,376.65/77,174.74
  6. Step 6: Final answer
    x = 71,268.51

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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.