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Finding the Fourth Proportional to 163,682, 245,522.32 and 45,353

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Solution

The fourth proportional to 163,682, 245,522.32 and 45,353 is: 68,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,682 : 245,522.32 = 45,353 : x
  2. Step 2: Convert to fraction form
    163,682/245,522.32 = 45,353/x
  3. Step 3: Cross multiply
    163,682x = 245,522.32 × 45,353
  4. Step 4: Simplify right side
    163,682x = 11,135,173,778.96
  5. Step 5: Solve for x
    x = 11,135,173,778.96/163,682
  6. Step 6: Final answer
    x = 68,029.31

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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.