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Finding the Fourth Proportional to 119,249.64, 178,920.60 and 52,642.80

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Solution

The fourth proportional to 119,249.64, 178,920.60 and 52,642.80 is: 78,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,249.64 : 178,920.60 = 52,642.80 : x
  2. Step 2: Convert to fraction form
    119,249.64/178,920.60 = 52,642.80/x
  3. Step 3: Cross multiply
    119,249.64x = 178,920.60 × 52,642.80
  4. Step 4: Simplify right side
    119,249.64x = 9,418,881,361.68
  5. Step 5: Solve for x
    x = 9,418,881,361.68/119,249.64
  6. Step 6: Final answer
    x = 78,984.57

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Why These Related Problems?

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