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Finding the Fourth Proportional to 219,022, 302,249.82 and 118,420

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Solution

The fourth proportional to 219,022, 302,249.82 and 118,420 is: 163,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,022 : 302,249.82 = 118,420 : x
  2. Step 2: Convert to fraction form
    219,022/302,249.82 = 118,420/x
  3. Step 3: Cross multiply
    219,022x = 302,249.82 × 118,420
  4. Step 4: Simplify right side
    219,022x = 35,792,423,684.40
  5. Step 5: Solve for x
    x = 35,792,423,684.40/219,022
  6. Step 6: Final answer
    x = 163,419.31

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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.