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Finding the Fourth Proportional to 219,116, 302,380.11 and 118,514

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Solution

The fourth proportional to 219,116, 302,380.11 and 118,514 is: 163,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,116 : 302,380.11 = 118,514 : x
  2. Step 2: Convert to fraction form
    219,116/302,380.11 = 118,514/x
  3. Step 3: Cross multiply
    219,116x = 302,380.11 × 118,514
  4. Step 4: Simplify right side
    219,116x = 35,836,276,356.54
  5. Step 5: Solve for x
    x = 35,836,276,356.54/219,116
  6. Step 6: Final answer
    x = 163,549.34

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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.