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Finding the Fourth Proportional to 51,100.80, 76,780.80 and 45,398.40

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Solution

The fourth proportional to 51,100.80, 76,780.80 and 45,398.40 is: 68,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100.80 : 76,780.80 = 45,398.40 : x
  2. Step 2: Convert to fraction form
    51,100.80/76,780.80 = 45,398.40/x
  3. Step 3: Cross multiply
    51,100.80x = 76,780.80 × 45,398.40
  4. Step 4: Simplify right side
    51,100.80x = 3,485,725,470.72
  5. Step 5: Solve for x
    x = 3,485,725,470.72/51,100.80
  6. Step 6: Final answer
    x = 68,212.74

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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.