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Finding the Fourth Proportional to 76,896.72, 106,121.16 and 43,362

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Solution

The fourth proportional to 76,896.72, 106,121.16 and 43,362 is: 59,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896.72 : 106,121.16 = 43,362 : x
  2. Step 2: Convert to fraction form
    76,896.72/106,121.16 = 43,362/x
  3. Step 3: Cross multiply
    76,896.72x = 106,121.16 × 43,362
  4. Step 4: Simplify right side
    76,896.72x = 4,601,625,739.92
  5. Step 5: Solve for x
    x = 4,601,625,739.92/76,896.72
  6. Step 6: Final answer
    x = 59,841.64

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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.