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Finding the Fourth Proportional to 51,279, 76,918.50 and 14,343

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Solution

The fourth proportional to 51,279, 76,918.50 and 14,343 is: 21,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,279 : 76,918.50 = 14,343 : x
  2. Step 2: Convert to fraction form
    51,279/76,918.50 = 14,343/x
  3. Step 3: Cross multiply
    51,279x = 76,918.50 × 14,343
  4. Step 4: Simplify right side
    51,279x = 1,103,242,045.50
  5. Step 5: Solve for x
    x = 1,103,242,045.50/51,279
  6. Step 6: Final answer
    x = 21,514.50

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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.