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Finding the Fourth Proportional to 219,536.64, 302,974.56 and 134,642.16

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Solution

The fourth proportional to 219,536.64, 302,974.56 and 134,642.16 is: 185,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,536.64 : 302,974.56 = 134,642.16 : x
  2. Step 2: Convert to fraction form
    219,536.64/302,974.56 = 134,642.16/x
  3. Step 3: Cross multiply
    219,536.64x = 302,974.56 × 134,642.16
  4. Step 4: Simplify right side
    219,536.64x = 40,793,149,183.45
  5. Step 5: Solve for x
    x = 40,793,149,183.45/219,536.64
  6. Step 6: Final answer
    x = 185,814.77

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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.