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Finding the Fourth Proportional to 57,447.12, 86,170.56 and 15,894

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Solution

The fourth proportional to 57,447.12, 86,170.56 and 15,894 is: 23,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,447.12 : 86,170.56 = 15,894 : x
  2. Step 2: Convert to fraction form
    57,447.12/86,170.56 = 15,894/x
  3. Step 3: Cross multiply
    57,447.12x = 86,170.56 × 15,894
  4. Step 4: Simplify right side
    57,447.12x = 1,369,594,880.64
  5. Step 5: Solve for x
    x = 1,369,594,880.64/57,447.12
  6. Step 6: Final answer
    x = 23,840.97

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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.