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Finding the Fourth Proportional to 57,138.66, 85,712.31 and 17,699.76

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Solution

The fourth proportional to 57,138.66, 85,712.31 and 17,699.76 is: 26,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.66 : 85,712.31 = 17,699.76 : x
  2. Step 2: Convert to fraction form
    57,138.66/85,712.31 = 17,699.76/x
  3. Step 3: Cross multiply
    57,138.66x = 85,712.31 × 17,699.76
  4. Step 4: Simplify right side
    57,138.66x = 1,517,087,316.05
  5. Step 5: Solve for x
    x = 1,517,087,316.05/57,138.66
  6. Step 6: Final answer
    x = 26,550.98

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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.