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Finding the Fourth Proportional to 57,085.66, 85,641.51 and 30,789.82

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Solution

The fourth proportional to 57,085.66, 85,641.51 and 30,789.82 is: 46,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085.66 : 85,641.51 = 30,789.82 : x
  2. Step 2: Convert to fraction form
    57,085.66/85,641.51 = 30,789.82/x
  3. Step 3: Cross multiply
    57,085.66x = 85,641.51 × 30,789.82
  4. Step 4: Simplify right side
    57,085.66x = 2,636,886,677.43
  5. Step 5: Solve for x
    x = 2,636,886,677.43/57,085.66
  6. Step 6: Final answer
    x = 46,191.75

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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.