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Finding the Fourth Proportional to 189,753.12, 284,039.16 and 119,484.84

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Solution

The fourth proportional to 189,753.12, 284,039.16 and 119,484.84 is: 178,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,753.12 : 284,039.16 = 119,484.84 : x
  2. Step 2: Convert to fraction form
    189,753.12/284,039.16 = 119,484.84/x
  3. Step 3: Cross multiply
    189,753.12x = 284,039.16 × 119,484.84
  4. Step 4: Simplify right side
    189,753.12x = 33,938,373,586.33
  5. Step 5: Solve for x
    x = 33,938,373,586.33/189,753.12
  6. Step 6: Final answer
    x = 178,855.42

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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.