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Finding the Fourth Proportional to 57,189.20, 78,917.12 and 31,693.76

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Solution

The fourth proportional to 57,189.20, 78,917.12 and 31,693.76 is: 43,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.20 : 78,917.12 = 31,693.76 : x
  2. Step 2: Convert to fraction form
    57,189.20/78,917.12 = 31,693.76/x
  3. Step 3: Cross multiply
    57,189.20x = 78,917.12 × 31,693.76
  4. Step 4: Simplify right side
    57,189.20x = 2,501,180,261.17
  5. Step 5: Solve for x
    x = 2,501,180,261.17/57,189.20
  6. Step 6: Final answer
    x = 43,735.19

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1.5x scale

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.