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Finding the Fourth Proportional to 217,304.82, 299,893.26 and 121,842.24

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Solution

The fourth proportional to 217,304.82, 299,893.26 and 121,842.24 is: 168,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,304.82 : 299,893.26 = 121,842.24 : x
  2. Step 2: Convert to fraction form
    217,304.82/299,893.26 = 121,842.24/x
  3. Step 3: Cross multiply
    217,304.82x = 299,893.26 × 121,842.24
  4. Step 4: Simplify right side
    217,304.82x = 36,539,666,559.30
  5. Step 5: Solve for x
    x = 36,539,666,559.30/217,304.82
  6. Step 6: Final answer
    x = 168,149.36

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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.