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Finding the Fourth Proportional to 51,228.48, 76,854.06 and 20,064

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Solution

The fourth proportional to 51,228.48, 76,854.06 and 20,064 is: 30,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228.48 : 76,854.06 = 20,064 : x
  2. Step 2: Convert to fraction form
    51,228.48/76,854.06 = 20,064/x
  3. Step 3: Cross multiply
    51,228.48x = 76,854.06 × 20,064
  4. Step 4: Simplify right side
    51,228.48x = 1,541,999,859.84
  5. Step 5: Solve for x
    x = 1,541,999,859.84/51,228.48
  6. Step 6: Final answer
    x = 30,100.44

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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.