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Finding the Fourth Proportional to 221,225.64, 305,291.97 and 120,623.64

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Solution

The fourth proportional to 221,225.64, 305,291.97 and 120,623.64 is: 166,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,225.64 : 305,291.97 = 120,623.64 : x
  2. Step 2: Convert to fraction form
    221,225.64/305,291.97 = 120,623.64/x
  3. Step 3: Cross multiply
    221,225.64x = 305,291.97 × 120,623.64
  4. Step 4: Simplify right side
    221,225.64x = 36,825,428,684.17
  5. Step 5: Solve for x
    x = 36,825,428,684.17/221,225.64
  6. Step 6: Final answer
    x = 166,460.94

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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.