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Finding the Fourth Proportional to 222,271, 306,731.51 and 120,294.16

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Solution

The fourth proportional to 222,271, 306,731.51 and 120,294.16 is: 166,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,271 : 306,731.51 = 120,294.16 : x
  2. Step 2: Convert to fraction form
    222,271/306,731.51 = 120,294.16/x
  3. Step 3: Cross multiply
    222,271x = 306,731.51 × 120,294.16
  4. Step 4: Simplify right side
    222,271x = 36,898,008,739.51
  5. Step 5: Solve for x
    x = 36,898,008,739.51/222,271
  6. Step 6: Final answer
    x = 166,004.60

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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.