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Finding the Fourth Proportional to 45,328.68, 67,894.56 and 21,906

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Solution

The fourth proportional to 45,328.68, 67,894.56 and 21,906 is: 32,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,328.68 : 67,894.56 = 21,906 : x
  2. Step 2: Convert to fraction form
    45,328.68/67,894.56 = 21,906/x
  3. Step 3: Cross multiply
    45,328.68x = 67,894.56 × 21,906
  4. Step 4: Simplify right side
    45,328.68x = 1,487,298,231.36
  5. Step 5: Solve for x
    x = 1,487,298,231.36/45,328.68
  6. Step 6: Final answer
    x = 32,811.42

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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.