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Finding the Fourth Proportional to 148,085.09, 204,362.12 and 81,017.09

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Solution

The fourth proportional to 148,085.09, 204,362.12 and 81,017.09 is: 111,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,085.09 : 204,362.12 = 81,017.09 : x
  2. Step 2: Convert to fraction form
    148,085.09/204,362.12 = 81,017.09/x
  3. Step 3: Cross multiply
    148,085.09x = 204,362.12 × 81,017.09
  4. Step 4: Simplify right side
    148,085.09x = 16,556,823,863.55
  5. Step 5: Solve for x
    x = 16,556,823,863.55/148,085.09
  6. Step 6: Final answer
    x = 111,806.15

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1.5x scale

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.