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Finding the Fourth Proportional to 57,763.50, 86,645.61 and 20,827.50

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Solution

The fourth proportional to 57,763.50, 86,645.61 and 20,827.50 is: 31,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,763.50 : 86,645.61 = 20,827.50 : x
  2. Step 2: Convert to fraction form
    57,763.50/86,645.61 = 20,827.50/x
  3. Step 3: Cross multiply
    57,763.50x = 86,645.61 × 20,827.50
  4. Step 4: Simplify right side
    57,763.50x = 1,804,611,442.28
  5. Step 5: Solve for x
    x = 1,804,611,442.28/57,763.50
  6. Step 6: Final answer
    x = 31,241.38

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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.