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Finding the Fourth Proportional to 205,643.98, 283,670.40 and 120,744.64

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Solution

The fourth proportional to 205,643.98, 283,670.40 and 120,744.64 is: 166,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643.98 : 283,670.40 = 120,744.64 : x
  2. Step 2: Convert to fraction form
    205,643.98/283,670.40 = 120,744.64/x
  3. Step 3: Cross multiply
    205,643.98x = 283,670.40 × 120,744.64
  4. Step 4: Simplify right side
    205,643.98x = 34,251,680,326.66
  5. Step 5: Solve for x
    x = 34,251,680,326.66/205,643.98
  6. Step 6: Final answer
    x = 166,558.15

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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.