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Finding the Fourth Proportional to 219,508.50, 302,921.82 and 118,906.50

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Solution

The fourth proportional to 219,508.50, 302,921.82 and 118,906.50 is: 164,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,508.50 : 302,921.82 = 118,906.50 : x
  2. Step 2: Convert to fraction form
    219,508.50/302,921.82 = 118,906.50/x
  3. Step 3: Cross multiply
    219,508.50x = 302,921.82 × 118,906.50
  4. Step 4: Simplify right side
    219,508.50x = 36,019,373,389.83
  5. Step 5: Solve for x
    x = 36,019,373,389.83/219,508.50
  6. Step 6: Final answer
    x = 164,091.02

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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.