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Finding the Fourth Proportional to 219,021.75, 302,250.02 and 118,419.75

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Solution

The fourth proportional to 219,021.75, 302,250.02 and 118,419.75 is: 163,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,021.75 : 302,250.02 = 118,419.75 : x
  2. Step 2: Convert to fraction form
    219,021.75/302,250.02 = 118,419.75/x
  3. Step 3: Cross multiply
    219,021.75x = 302,250.02 × 118,419.75
  4. Step 4: Simplify right side
    219,021.75x = 35,792,371,213.80
  5. Step 5: Solve for x
    x = 35,792,371,213.80/219,021.75
  6. Step 6: Final answer
    x = 163,419.26

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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.