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Finding the Fourth Proportional to 217,442.88, 300,070.64 and 120,661.44

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Solution

The fourth proportional to 217,442.88, 300,070.64 and 120,661.44 is: 166,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,442.88 : 300,070.64 = 120,661.44 : x
  2. Step 2: Convert to fraction form
    217,442.88/300,070.64 = 120,661.44/x
  3. Step 3: Cross multiply
    217,442.88x = 300,070.64 × 120,661.44
  4. Step 4: Simplify right side
    217,442.88x = 36,206,955,524.12
  5. Step 5: Solve for x
    x = 36,206,955,524.12/217,442.88
  6. Step 6: Final answer
    x = 166,512.49

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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.