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Finding the Fourth Proportional to 215,802, 297,803.34 and 120,314.52

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Solution

The fourth proportional to 215,802, 297,803.34 and 120,314.52 is: 166,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,802 : 297,803.34 = 120,314.52 : x
  2. Step 2: Convert to fraction form
    215,802/297,803.34 = 120,314.52/x
  3. Step 3: Cross multiply
    215,802x = 297,803.34 × 120,314.52
  4. Step 4: Simplify right side
    215,802x = 35,830,065,906.50
  5. Step 5: Solve for x
    x = 35,830,065,906.50/215,802
  6. Step 6: Final answer
    x = 166,032.13

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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.