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Finding the Fourth Proportional to 38,305.25, 57,457.90 and 10,225.42

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Solution

The fourth proportional to 38,305.25, 57,457.90 and 10,225.42 is: 15,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305.25 : 57,457.90 = 10,225.42 : x
  2. Step 2: Convert to fraction form
    38,305.25/57,457.90 = 10,225.42/x
  3. Step 3: Cross multiply
    38,305.25x = 57,457.90 × 10,225.42
  4. Step 4: Simplify right side
    38,305.25x = 587,531,159.82
  5. Step 5: Solve for x
    x = 587,531,159.82/38,305.25
  6. Step 6: Final answer
    x = 15,338.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.