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Finding the Fourth Proportional to 51,600.75, 77,404.79 and 20,436

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Solution

The fourth proportional to 51,600.75, 77,404.79 and 20,436 is: 30,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600.75 : 77,404.79 = 20,436 : x
  2. Step 2: Convert to fraction form
    51,600.75/77,404.79 = 20,436/x
  3. Step 3: Cross multiply
    51,600.75x = 77,404.79 × 20,436
  4. Step 4: Simplify right side
    51,600.75x = 1,581,844,186.26
  5. Step 5: Solve for x
    x = 1,581,844,186.26/51,600.75
  6. Step 6: Final answer
    x = 30,655.45

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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.