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Finding the Fourth Proportional to 57,381, 86,074.74 and 20,445

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Solution

The fourth proportional to 57,381, 86,074.74 and 20,445 is: 30,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381 : 86,074.74 = 20,445 : x
  2. Step 2: Convert to fraction form
    57,381/86,074.74 = 20,445/x
  3. Step 3: Cross multiply
    57,381x = 86,074.74 × 20,445
  4. Step 4: Simplify right side
    57,381x = 1,759,798,059.30
  5. Step 5: Solve for x
    x = 1,759,798,059.30/57,381
  6. Step 6: Final answer
    x = 30,668.65

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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.