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Finding the Fourth Proportional to 57,093.56, 85,619.23 and 19,643.31

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Solution

The fourth proportional to 57,093.56, 85,619.23 and 19,643.31 is: 29,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093.56 : 85,619.23 = 19,643.31 : x
  2. Step 2: Convert to fraction form
    57,093.56/85,619.23 = 19,643.31/x
  3. Step 3: Cross multiply
    57,093.56x = 85,619.23 × 19,643.31
  4. Step 4: Simplify right side
    57,093.56x = 1,681,845,027.74
  5. Step 5: Solve for x
    x = 1,681,845,027.74/57,093.56
  6. Step 6: Final answer
    x = 29,457.70

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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.