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Finding the Fourth Proportional to 215,727, 297,713.40 and 120,234.39

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Solution

The fourth proportional to 215,727, 297,713.40 and 120,234.39 is: 165,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,727 : 297,713.40 = 120,234.39 : x
  2. Step 2: Convert to fraction form
    215,727/297,713.40 = 120,234.39/x
  3. Step 3: Cross multiply
    215,727x = 297,713.40 × 120,234.39
  4. Step 4: Simplify right side
    215,727x = 35,795,389,043.83
  5. Step 5: Solve for x
    x = 35,795,389,043.83/215,727
  6. Step 6: Final answer
    x = 165,929.11

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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.