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Finding the Fourth Proportional to 203,085.99, 304,722.31 and 76,770.10

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Solution

The fourth proportional to 203,085.99, 304,722.31 and 76,770.10 is: 115,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,085.99 : 304,722.31 = 76,770.10 : x
  2. Step 2: Convert to fraction form
    203,085.99/304,722.31 = 76,770.10/x
  3. Step 3: Cross multiply
    203,085.99x = 304,722.31 × 76,770.10
  4. Step 4: Simplify right side
    203,085.99x = 23,393,562,210.93
  5. Step 5: Solve for x
    x = 23,393,562,210.93/203,085.99
  6. Step 6: Final answer
    x = 115,190.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.