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Finding the Fourth Proportional to 86,542, 119,440.92 and 53,027.44

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Solution

The fourth proportional to 86,542, 119,440.92 and 53,027.44 is: 73,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542 : 119,440.92 = 53,027.44 : x
  2. Step 2: Convert to fraction form
    86,542/119,440.92 = 53,027.44/x
  3. Step 3: Cross multiply
    86,542x = 119,440.92 × 53,027.44
  4. Step 4: Simplify right side
    86,542x = 6,333,646,218.84
  5. Step 5: Solve for x
    x = 6,333,646,218.84/86,542
  6. Step 6: Final answer
    x = 73,185.81

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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.