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Finding the Fourth Proportional to 77,356.31, 106,751.72 and 43,822.31

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Solution

The fourth proportional to 77,356.31, 106,751.72 and 43,822.31 is: 60,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.31 : 106,751.72 = 43,822.31 : x
  2. Step 2: Convert to fraction form
    77,356.31/106,751.72 = 43,822.31/x
  3. Step 3: Cross multiply
    77,356.31x = 106,751.72 × 43,822.31
  4. Step 4: Simplify right side
    77,356.31x = 4,678,107,014.64
  5. Step 5: Solve for x
    x = 4,678,107,014.64/77,356.31
  6. Step 6: Final answer
    x = 60,474.79

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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.