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Finding the Fourth Proportional to 77,409.60, 106,833.60 and 43,872

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Solution

The fourth proportional to 77,409.60, 106,833.60 and 43,872 is: 60,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.60 : 106,833.60 = 43,872 : x
  2. Step 2: Convert to fraction form
    77,409.60/106,833.60 = 43,872/x
  3. Step 3: Cross multiply
    77,409.60x = 106,833.60 × 43,872
  4. Step 4: Simplify right side
    77,409.60x = 4,687,003,699.20
  5. Step 5: Solve for x
    x = 4,687,003,699.20/77,409.60
  6. Step 6: Final answer
    x = 60,548.09

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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.