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Finding the Fourth Proportional to 160,797.12, 221,908.32 and 120,984

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Solution

The fourth proportional to 160,797.12, 221,908.32 and 120,984 is: 166,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,797.12 : 221,908.32 = 120,984 : x
  2. Step 2: Convert to fraction form
    160,797.12/221,908.32 = 120,984/x
  3. Step 3: Cross multiply
    160,797.12x = 221,908.32 × 120,984
  4. Step 4: Simplify right side
    160,797.12x = 26,847,356,186.88
  5. Step 5: Solve for x
    x = 26,847,356,186.88/160,797.12
  6. Step 6: Final answer
    x = 166,964.16

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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.