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Finding the Fourth Proportional to 105,868.62, 146,098.02 and 57,471.51

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Solution

The fourth proportional to 105,868.62, 146,098.02 and 57,471.51 is: 79,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,868.62 : 146,098.02 = 57,471.51 : x
  2. Step 2: Convert to fraction form
    105,868.62/146,098.02 = 57,471.51/x
  3. Step 3: Cross multiply
    105,868.62x = 146,098.02 × 57,471.51
  4. Step 4: Simplify right side
    105,868.62x = 8,396,473,817.41
  5. Step 5: Solve for x
    x = 8,396,473,817.41/105,868.62
  6. Step 6: Final answer
    x = 79,310.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.