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Finding the Fourth Proportional to 220,992.51, 304,969.68 and 120,390.51

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Solution

The fourth proportional to 220,992.51, 304,969.68 and 120,390.51 is: 166,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,992.51 : 304,969.68 = 120,390.51 : x
  2. Step 2: Convert to fraction form
    220,992.51/304,969.68 = 120,390.51/x
  3. Step 3: Cross multiply
    220,992.51x = 304,969.68 × 120,390.51
  4. Step 4: Simplify right side
    220,992.51x = 36,715,455,309.74
  5. Step 5: Solve for x
    x = 36,715,455,309.74/220,992.51
  6. Step 6: Final answer
    x = 166,138.91

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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.