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Finding the Fourth Proportional to 51,586.80, 77,393.16 and 20,418

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Solution

The fourth proportional to 51,586.80, 77,393.16 and 20,418 is: 30,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586.80 : 77,393.16 = 20,418 : x
  2. Step 2: Convert to fraction form
    51,586.80/77,393.16 = 20,418/x
  3. Step 3: Cross multiply
    51,586.80x = 77,393.16 × 20,418
  4. Step 4: Simplify right side
    51,586.80x = 1,580,213,540.88
  5. Step 5: Solve for x
    x = 1,580,213,540.88/51,586.80
  6. Step 6: Final answer
    x = 30,632.13

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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.