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Finding the Fourth Proportional to 109,294.36, 163,940.63 and 30,408.36

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Solution

The fourth proportional to 109,294.36, 163,940.63 and 30,408.36 is: 45,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,294.36 : 163,940.63 = 30,408.36 : x
  2. Step 2: Convert to fraction form
    109,294.36/163,940.63 = 30,408.36/x
  3. Step 3: Cross multiply
    109,294.36x = 163,940.63 × 30,408.36
  4. Step 4: Simplify right side
    109,294.36x = 4,985,165,695.67
  5. Step 5: Solve for x
    x = 4,985,165,695.67/109,294.36
  6. Step 6: Final answer
    x = 45,612.29

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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.