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Finding the Fourth Proportional to 136,847.82, 188,848.21 and 76,419.53

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Solution

The fourth proportional to 136,847.82, 188,848.21 and 76,419.53 is: 105,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,847.82 : 188,848.21 = 76,419.53 : x
  2. Step 2: Convert to fraction form
    136,847.82/188,848.21 = 76,419.53/x
  3. Step 3: Cross multiply
    136,847.82x = 188,848.21 × 76,419.53
  4. Step 4: Simplify right side
    136,847.82x = 14,431,691,449.54
  5. Step 5: Solve for x
    x = 14,431,691,449.54/136,847.82
  6. Step 6: Final answer
    x = 105,457.96

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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.