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Finding the Fourth Proportional to 33,068, 45,638.40 and 22,990.88

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Solution

The fourth proportional to 33,068, 45,638.40 and 22,990.88 is: 31,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,068 : 45,638.40 = 22,990.88 : x
  2. Step 2: Convert to fraction form
    33,068/45,638.40 = 22,990.88/x
  3. Step 3: Cross multiply
    33,068x = 45,638.40 × 22,990.88
  4. Step 4: Simplify right side
    33,068x = 1,049,266,977.79
  5. Step 5: Solve for x
    x = 1,049,266,977.79/33,068
  6. Step 6: Final answer
    x = 31,730.58

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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.