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Finding the Fourth Proportional to 103,168.64, 154,728.33 and 53,223.03

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Solution

The fourth proportional to 103,168.64, 154,728.33 and 53,223.03 is: 79,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,168.64 : 154,728.33 = 53,223.03 : x
  2. Step 2: Convert to fraction form
    103,168.64/154,728.33 = 53,223.03/x
  3. Step 3: Cross multiply
    103,168.64x = 154,728.33 × 53,223.03
  4. Step 4: Simplify right side
    103,168.64x = 8,235,110,549.44
  5. Step 5: Solve for x
    x = 8,235,110,549.44/103,168.64
  6. Step 6: Final answer
    x = 79,821.84

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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.