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Finding the Fourth Proportional to 107,402.36, 161,149.10 and 57,469.50

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Solution

The fourth proportional to 107,402.36, 161,149.10 and 57,469.50 is: 86,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402.36 : 161,149.10 = 57,469.50 : x
  2. Step 2: Convert to fraction form
    107,402.36/161,149.10 = 57,469.50/x
  3. Step 3: Cross multiply
    107,402.36x = 161,149.10 × 57,469.50
  4. Step 4: Simplify right side
    107,402.36x = 9,261,157,915.10
  5. Step 5: Solve for x
    x = 9,261,157,915.10/107,402.36
  6. Step 6: Final answer
    x = 86,228.63

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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.