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Finding the Fourth Proportional to 51,918.68, 77,881.80 and 18,642.80

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Solution

The fourth proportional to 51,918.68, 77,881.80 and 18,642.80 is: 27,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918.68 : 77,881.80 = 18,642.80 : x
  2. Step 2: Convert to fraction form
    51,918.68/77,881.80 = 18,642.80/x
  3. Step 3: Cross multiply
    51,918.68x = 77,881.80 × 18,642.80
  4. Step 4: Simplify right side
    51,918.68x = 1,451,934,821.04
  5. Step 5: Solve for x
    x = 1,451,934,821.04/51,918.68
  6. Step 6: Final answer
    x = 27,965.56

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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.