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Finding the Fourth Proportional to 70,290.36, 105,418.94 and 25,893

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Solution

The fourth proportional to 70,290.36, 105,418.94 and 25,893 is: 38,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,290.36 : 105,418.94 = 25,893 : x
  2. Step 2: Convert to fraction form
    70,290.36/105,418.94 = 25,893/x
  3. Step 3: Cross multiply
    70,290.36x = 105,418.94 × 25,893
  4. Step 4: Simplify right side
    70,290.36x = 2,729,612,613.42
  5. Step 5: Solve for x
    x = 2,729,612,613.42/70,290.36
  6. Step 6: Final answer
    x = 38,833.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.