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Finding the Fourth Proportional to 77,429.79, 106,845.48 and 43,439.49

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Solution

The fourth proportional to 77,429.79, 106,845.48 and 43,439.49 is: 59,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,429.79 : 106,845.48 = 43,439.49 : x
  2. Step 2: Convert to fraction form
    77,429.79/106,845.48 = 43,439.49/x
  3. Step 3: Cross multiply
    77,429.79x = 106,845.48 × 43,439.49
  4. Step 4: Simplify right side
    77,429.79x = 4,641,313,160.01
  5. Step 5: Solve for x
    x = 4,641,313,160.01/77,429.79
  6. Step 6: Final answer
    x = 59,942.22

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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.