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Finding the Fourth Proportional to 77,408.26, 106,824.62 and 43,424.30

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Solution

The fourth proportional to 77,408.26, 106,824.62 and 43,424.30 is: 59,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.26 : 106,824.62 = 43,424.30 : x
  2. Step 2: Convert to fraction form
    77,408.26/106,824.62 = 43,424.30/x
  3. Step 3: Cross multiply
    77,408.26x = 106,824.62 × 43,424.30
  4. Step 4: Simplify right side
    77,408.26x = 4,638,784,346.27
  5. Step 5: Solve for x
    x = 4,638,784,346.27/77,408.26
  6. Step 6: Final answer
    x = 59,926.22

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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.