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Finding the Fourth Proportional to 221,225.14, 305,291.28 and 120,623.14

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Solution

The fourth proportional to 221,225.14, 305,291.28 and 120,623.14 is: 166,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,225.14 : 305,291.28 = 120,623.14 : x
  2. Step 2: Convert to fraction form
    221,225.14/305,291.28 = 120,623.14/x
  3. Step 3: Cross multiply
    221,225.14x = 305,291.28 × 120,623.14
  4. Step 4: Simplify right side
    221,225.14x = 36,825,192,808.22
  5. Step 5: Solve for x
    x = 36,825,192,808.22/221,225.14
  6. Step 6: Final answer
    x = 166,460.25

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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.