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Finding the Fourth Proportional to 57,214.52, 78,956.03 and 31,720.80

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Solution

The fourth proportional to 57,214.52, 78,956.03 and 31,720.80 is: 43,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.52 : 78,956.03 = 31,720.80 : x
  2. Step 2: Convert to fraction form
    57,214.52/78,956.03 = 31,720.80/x
  3. Step 3: Cross multiply
    57,214.52x = 78,956.03 × 31,720.80
  4. Step 4: Simplify right side
    57,214.52x = 2,504,548,277.82
  5. Step 5: Solve for x
    x = 2,504,548,277.82/57,214.52
  6. Step 6: Final answer
    x = 43,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.