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Finding the Fourth Proportional to 219,451.36, 302,842.88 and 118,849.36

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Solution

The fourth proportional to 219,451.36, 302,842.88 and 118,849.36 is: 164,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,451.36 : 302,842.88 = 118,849.36 : x
  2. Step 2: Convert to fraction form
    219,451.36/302,842.88 = 118,849.36/x
  3. Step 3: Cross multiply
    219,451.36x = 302,842.88 × 118,849.36
  4. Step 4: Simplify right side
    219,451.36x = 35,992,681,874.31
  5. Step 5: Solve for x
    x = 35,992,681,874.31/219,451.36
  6. Step 6: Final answer
    x = 164,012.12

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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.