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Finding the Fourth Proportional to 115,084.76, 172,635.34 and 40,196.42

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Solution

The fourth proportional to 115,084.76, 172,635.34 and 40,196.42 is: 60,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,084.76 : 172,635.34 = 40,196.42 : x
  2. Step 2: Convert to fraction form
    115,084.76/172,635.34 = 40,196.42/x
  3. Step 3: Cross multiply
    115,084.76x = 172,635.34 × 40,196.42
  4. Step 4: Simplify right side
    115,084.76x = 6,939,322,633.48
  5. Step 5: Solve for x
    x = 6,939,322,633.48/115,084.76
  6. Step 6: Final answer
    x = 60,297.49

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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.