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Finding the Fourth Proportional to 45,803, 68,714.30 and 14,212.38

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Solution

The fourth proportional to 45,803, 68,714.30 and 14,212.38 is: 21,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,803 : 68,714.30 = 14,212.38 : x
  2. Step 2: Convert to fraction form
    45,803/68,714.30 = 14,212.38/x
  3. Step 3: Cross multiply
    45,803x = 68,714.30 × 14,212.38
  4. Step 4: Simplify right side
    45,803x = 976,593,743.03
  5. Step 5: Solve for x
    x = 976,593,743.03/45,803
  6. Step 6: Final answer
    x = 21,321.61

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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.