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Finding the Fourth Proportional to 51,933.84, 77,889.82 and 18,655.80

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Solution

The fourth proportional to 51,933.84, 77,889.82 and 18,655.80 is: 27,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933.84 : 77,889.82 = 18,655.80 : x
  2. Step 2: Convert to fraction form
    51,933.84/77,889.82 = 18,655.80/x
  3. Step 3: Cross multiply
    51,933.84x = 77,889.82 × 18,655.80
  4. Step 4: Simplify right side
    51,933.84x = 1,453,096,903.96
  5. Step 5: Solve for x
    x = 1,453,096,903.96/51,933.84
  6. Step 6: Final answer
    x = 27,979.77

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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.