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Finding the Fourth Proportional to 51,247.68, 76,865.16 and 13,810.68

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Solution

The fourth proportional to 51,247.68, 76,865.16 and 13,810.68 is: 20,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,247.68 : 76,865.16 = 13,810.68 : x
  2. Step 2: Convert to fraction form
    51,247.68/76,865.16 = 13,810.68/x
  3. Step 3: Cross multiply
    51,247.68x = 76,865.16 × 13,810.68
  4. Step 4: Simplify right side
    51,247.68x = 1,061,560,127.91
  5. Step 5: Solve for x
    x = 1,061,560,127.91/51,247.68
  6. Step 6: Final answer
    x = 20,714.31

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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.