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Finding the Fourth Proportional to 221,008.77, 304,992.14 and 120,406.77

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Solution

The fourth proportional to 221,008.77, 304,992.14 and 120,406.77 is: 166,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,008.77 : 304,992.14 = 120,406.77 : x
  2. Step 2: Convert to fraction form
    221,008.77/304,992.14 = 120,406.77/x
  3. Step 3: Cross multiply
    221,008.77x = 304,992.14 × 120,406.77
  4. Step 4: Simplify right side
    221,008.77x = 36,723,118,452.79
  5. Step 5: Solve for x
    x = 36,723,118,452.79/221,008.77
  6. Step 6: Final answer
    x = 166,161.36

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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.