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Finding the Fourth Proportional to 51,159, 76,738.56 and 14,223

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Solution

The fourth proportional to 51,159, 76,738.56 and 14,223 is: 21,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,159 : 76,738.56 = 14,223 : x
  2. Step 2: Convert to fraction form
    51,159/76,738.56 = 14,223/x
  3. Step 3: Cross multiply
    51,159x = 76,738.56 × 14,223
  4. Step 4: Simplify right side
    51,159x = 1,091,452,538.88
  5. Step 5: Solve for x
    x = 1,091,452,538.88/51,159
  6. Step 6: Final answer
    x = 21,334.52

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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.