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Finding the Fourth Proportional to 72,771.48, 109,157.12 and 22,855.46

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Solution

The fourth proportional to 72,771.48, 109,157.12 and 22,855.46 is: 34,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771.48 : 109,157.12 = 22,855.46 : x
  2. Step 2: Convert to fraction form
    72,771.48/109,157.12 = 22,855.46/x
  3. Step 3: Cross multiply
    72,771.48x = 109,157.12 × 22,855.46
  4. Step 4: Simplify right side
    72,771.48x = 2,494,836,189.88
  5. Step 5: Solve for x
    x = 2,494,836,189.88/72,771.48
  6. Step 6: Final answer
    x = 34,283.16

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1.5x scale

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.