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Finding the Fourth Proportional to 189,829.44, 284,763.60 and 71,600.22

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Solution

The fourth proportional to 189,829.44, 284,763.60 and 71,600.22 is: 107,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,829.44 : 284,763.60 = 71,600.22 : x
  2. Step 2: Convert to fraction form
    189,829.44/284,763.60 = 71,600.22/x
  3. Step 3: Cross multiply
    189,829.44x = 284,763.60 × 71,600.22
  4. Step 4: Simplify right side
    189,829.44x = 20,389,136,407.99
  5. Step 5: Solve for x
    x = 20,389,136,407.99/189,829.44
  6. Step 6: Final answer
    x = 107,407.66

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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.