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Finding the Fourth Proportional to 105,471.73, 145,551.37 and 57,073.65

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Solution

The fourth proportional to 105,471.73, 145,551.37 and 57,073.65 is: 78,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471.73 : 145,551.37 = 57,073.65 : x
  2. Step 2: Convert to fraction form
    105,471.73/145,551.37 = 57,073.65/x
  3. Step 3: Cross multiply
    105,471.73x = 145,551.37 × 57,073.65
  4. Step 4: Simplify right side
    105,471.73x = 8,307,148,755.52
  5. Step 5: Solve for x
    x = 8,307,148,755.52/105,471.73
  6. Step 6: Final answer
    x = 78,761.85

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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.