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Finding the Fourth Proportional to 57,453.12, 86,179.52 and 15,900

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Solution

The fourth proportional to 57,453.12, 86,179.52 and 15,900 is: 23,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453.12 : 86,179.52 = 15,900 : x
  2. Step 2: Convert to fraction form
    57,453.12/86,179.52 = 15,900/x
  3. Step 3: Cross multiply
    57,453.12x = 86,179.52 × 15,900
  4. Step 4: Simplify right side
    57,453.12x = 1,370,254,368
  5. Step 5: Solve for x
    x = 1,370,254,368/57,453.12
  6. Step 6: Final answer
    x = 23,849.96

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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.