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Finding the Fourth Proportional to 57,265.84, 85,907.94 and 21,742.12

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Solution

The fourth proportional to 57,265.84, 85,907.94 and 21,742.12 is: 32,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,265.84 : 85,907.94 = 21,742.12 : x
  2. Step 2: Convert to fraction form
    57,265.84/85,907.94 = 21,742.12/x
  3. Step 3: Cross multiply
    57,265.84x = 85,907.94 × 21,742.12
  4. Step 4: Simplify right side
    57,265.84x = 1,867,820,888.58
  5. Step 5: Solve for x
    x = 1,867,820,888.58/57,265.84
  6. Step 6: Final answer
    x = 32,616.67

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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.