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Finding the Fourth Proportional to 208,890, 288,268.56 and 119,466

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Solution

The fourth proportional to 208,890, 288,268.56 and 119,466 is: 164,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,890 : 288,268.56 = 119,466 : x
  2. Step 2: Convert to fraction form
    208,890/288,268.56 = 119,466/x
  3. Step 3: Cross multiply
    208,890x = 288,268.56 × 119,466
  4. Step 4: Simplify right side
    208,890x = 34,438,291,788.96
  5. Step 5: Solve for x
    x = 34,438,291,788.96/208,890
  6. Step 6: Final answer
    x = 164,863.29

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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.