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Finding the Fourth Proportional to 57,407.74, 86,111.64 and 31,278.56

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Solution

The fourth proportional to 57,407.74, 86,111.64 and 31,278.56 is: 46,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,407.74 : 86,111.64 = 31,278.56 : x
  2. Step 2: Convert to fraction form
    57,407.74/86,111.64 = 31,278.56/x
  3. Step 3: Cross multiply
    57,407.74x = 86,111.64 × 31,278.56
  4. Step 4: Simplify right side
    57,407.74x = 2,693,447,667.88
  5. Step 5: Solve for x
    x = 2,693,447,667.88/57,407.74
  6. Step 6: Final answer
    x = 46,917.85

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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.