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Finding the Fourth Proportional to 51,151.58, 76,722.51 and 17,865.50

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Solution

The fourth proportional to 51,151.58, 76,722.51 and 17,865.50 is: 26,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,151.58 : 76,722.51 = 17,865.50 : x
  2. Step 2: Convert to fraction form
    51,151.58/76,722.51 = 17,865.50/x
  3. Step 3: Cross multiply
    51,151.58x = 76,722.51 × 17,865.50
  4. Step 4: Simplify right side
    51,151.58x = 1,370,686,002.41
  5. Step 5: Solve for x
    x = 1,370,686,002.41/51,151.58
  6. Step 6: Final answer
    x = 26,796.55

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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.