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Finding the Fourth Proportional to 51,998.68, 77,997.96 and 20,855.80

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Solution

The fourth proportional to 51,998.68, 77,997.96 and 20,855.80 is: 31,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998.68 : 77,997.96 = 20,855.80 : x
  2. Step 2: Convert to fraction form
    51,998.68/77,997.96 = 20,855.80/x
  3. Step 3: Cross multiply
    51,998.68x = 77,997.96 × 20,855.80
  4. Step 4: Simplify right side
    51,998.68x = 1,626,709,854.17
  5. Step 5: Solve for x
    x = 1,626,709,854.17/51,998.68
  6. Step 6: Final answer
    x = 31,283.68

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1.5x scale

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.