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Finding the Fourth Proportional to 57,253.74, 85,886.51 and 19,813.75

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Solution

The fourth proportional to 57,253.74, 85,886.51 and 19,813.75 is: 29,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,253.74 : 85,886.51 = 19,813.75 : x
  2. Step 2: Convert to fraction form
    57,253.74/85,886.51 = 19,813.75/x
  3. Step 3: Cross multiply
    57,253.74x = 85,886.51 × 19,813.75
  4. Step 4: Simplify right side
    57,253.74x = 1,701,734,006.84
  5. Step 5: Solve for x
    x = 1,701,734,006.84/57,253.74
  6. Step 6: Final answer
    x = 29,722.67

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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.