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Finding the Fourth Proportional to 57,664.40, 86,323.80 and 54,246.80

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Solution

The fourth proportional to 57,664.40, 86,323.80 and 54,246.80 is: 81,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.40 : 86,323.80 = 54,246.80 : x
  2. Step 2: Convert to fraction form
    57,664.40/86,323.80 = 54,246.80/x
  3. Step 3: Cross multiply
    57,664.40x = 86,323.80 × 54,246.80
  4. Step 4: Simplify right side
    57,664.40x = 4,682,789,913.84
  5. Step 5: Solve for x
    x = 4,682,789,913.84/57,664.40
  6. Step 6: Final answer
    x = 81,207.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.