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Finding the Fourth Proportional to 51,452.96, 77,171.46 and 19,858.41

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Solution

The fourth proportional to 51,452.96, 77,171.46 and 19,858.41 is: 29,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,452.96 : 77,171.46 = 19,858.41 : x
  2. Step 2: Convert to fraction form
    51,452.96/77,171.46 = 19,858.41/x
  3. Step 3: Cross multiply
    51,452.96x = 77,171.46 × 19,858.41
  4. Step 4: Simplify right side
    51,452.96x = 1,532,502,492.98
  5. Step 5: Solve for x
    x = 1,532,502,492.98/51,452.96
  6. Step 6: Final answer
    x = 29,784.54

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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.