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Finding the Fourth Proportional to 51,245.68, 76,862.16 and 13,808.68

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Solution

The fourth proportional to 51,245.68, 76,862.16 and 13,808.68 is: 20,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,245.68 : 76,862.16 = 13,808.68 : x
  2. Step 2: Convert to fraction form
    51,245.68/76,862.16 = 13,808.68/x
  3. Step 3: Cross multiply
    51,245.68x = 76,862.16 × 13,808.68
  4. Step 4: Simplify right side
    51,245.68x = 1,061,364,971.55
  5. Step 5: Solve for x
    x = 1,061,364,971.55/51,245.68
  6. Step 6: Final answer
    x = 20,711.31

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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.