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Finding the Fourth Proportional to 215,088, 296,821.44 and 120,880

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Solution

The fourth proportional to 215,088, 296,821.44 and 120,880 is: 166,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,088 : 296,821.44 = 120,880 : x
  2. Step 2: Convert to fraction form
    215,088/296,821.44 = 120,880/x
  3. Step 3: Cross multiply
    215,088x = 296,821.44 × 120,880
  4. Step 4: Simplify right side
    215,088x = 35,879,775,667.20
  5. Step 5: Solve for x
    x = 35,879,775,667.20/215,088
  6. Step 6: Final answer
    x = 166,814.40

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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.