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Finding the Fourth Proportional to 230,919.80, 318,741.90 and 135,465.08

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Solution

The fourth proportional to 230,919.80, 318,741.90 and 135,465.08 is: 186,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,919.80 : 318,741.90 = 135,465.08 : x
  2. Step 2: Convert to fraction form
    230,919.80/318,741.90 = 135,465.08/x
  3. Step 3: Cross multiply
    230,919.80x = 318,741.90 × 135,465.08
  4. Step 4: Simplify right side
    230,919.80x = 43,178,396,982.85
  5. Step 5: Solve for x
    x = 43,178,396,982.85/230,919.80
  6. Step 6: Final answer
    x = 186,984.39

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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.