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Finding the Fourth Proportional to 109,157.90, 163,678.95 and 67,057.22

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Solution

The fourth proportional to 109,157.90, 163,678.95 and 67,057.22 is: 100,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,157.90 : 163,678.95 = 67,057.22 : x
  2. Step 2: Convert to fraction form
    109,157.90/163,678.95 = 67,057.22/x
  3. Step 3: Cross multiply
    109,157.90x = 163,678.95 × 67,057.22
  4. Step 4: Simplify right side
    109,157.90x = 10,975,855,768.72
  5. Step 5: Solve for x
    x = 10,975,855,768.72/109,157.90
  6. Step 6: Final answer
    x = 100,550.27

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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.