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Finding the Fourth Proportional to 209,466, 289,082.52 and 120,042

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Solution

The fourth proportional to 209,466, 289,082.52 and 120,042 is: 165,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,466 : 289,082.52 = 120,042 : x
  2. Step 2: Convert to fraction form
    209,466/289,082.52 = 120,042/x
  3. Step 3: Cross multiply
    209,466x = 289,082.52 × 120,042
  4. Step 4: Simplify right side
    209,466x = 34,702,043,865.84
  5. Step 5: Solve for x
    x = 34,702,043,865.84/209,466
  6. Step 6: Final answer
    x = 165,669.10

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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.