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Finding the Fourth Proportional to 219,747.90, 303,252.06 and 119,145.90

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Solution

The fourth proportional to 219,747.90, 303,252.06 and 119,145.90 is: 164,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,747.90 : 303,252.06 = 119,145.90 : x
  2. Step 2: Convert to fraction form
    219,747.90/303,252.06 = 119,145.90/x
  3. Step 3: Cross multiply
    219,747.90x = 303,252.06 × 119,145.90
  4. Step 4: Simplify right side
    219,747.90x = 36,131,239,615.55
  5. Step 5: Solve for x
    x = 36,131,239,615.55/219,747.90
  6. Step 6: Final answer
    x = 164,421.32

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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.