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Finding the Fourth Proportional to 221,455.98, 305,609.10 and 120,853.98

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Solution

The fourth proportional to 221,455.98, 305,609.10 and 120,853.98 is: 166,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,455.98 : 305,609.10 = 120,853.98 : x
  2. Step 2: Convert to fraction form
    221,455.98/305,609.10 = 120,853.98/x
  3. Step 3: Cross multiply
    221,455.98x = 305,609.10 × 120,853.98
  4. Step 4: Simplify right side
    221,455.98x = 36,934,076,059.22
  5. Step 5: Solve for x
    x = 36,934,076,059.22/221,455.98
  6. Step 6: Final answer
    x = 166,778.41

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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.