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Finding the Fourth Proportional to 215,754.78, 297,751.68 and 120,262.17

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Solution

The fourth proportional to 215,754.78, 297,751.68 and 120,262.17 is: 165,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,754.78 : 297,751.68 = 120,262.17 : x
  2. Step 2: Convert to fraction form
    215,754.78/297,751.68 = 120,262.17/x
  3. Step 3: Cross multiply
    215,754.78x = 297,751.68 × 120,262.17
  4. Step 4: Simplify right side
    215,754.78x = 35,808,263,157.95
  5. Step 5: Solve for x
    x = 35,808,263,157.95/215,754.78
  6. Step 6: Final answer
    x = 165,967.42

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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.