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Finding the Fourth Proportional to 45,351.76, 68,031.76 and 14,186.24

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Solution

The fourth proportional to 45,351.76, 68,031.76 and 14,186.24 is: 21,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,351.76 : 68,031.76 = 14,186.24 : x
  2. Step 2: Convert to fraction form
    45,351.76/68,031.76 = 14,186.24/x
  3. Step 3: Cross multiply
    45,351.76x = 68,031.76 × 14,186.24
  4. Step 4: Simplify right side
    45,351.76x = 965,114,874.98
  5. Step 5: Solve for x
    x = 965,114,874.98/45,351.76
  6. Step 6: Final answer
    x = 21,280.65

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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.