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Finding the Fourth Proportional to 189,762.12, 284,052.66 and 119,493.80

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Solution

The fourth proportional to 189,762.12, 284,052.66 and 119,493.80 is: 178,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,762.12 : 284,052.66 = 119,493.80 : x
  2. Step 2: Convert to fraction form
    189,762.12/284,052.66 = 119,493.80/x
  3. Step 3: Cross multiply
    189,762.12x = 284,052.66 × 119,493.80
  4. Step 4: Simplify right side
    189,762.12x = 33,942,531,743.51
  5. Step 5: Solve for x
    x = 33,942,531,743.51/189,762.12
  6. Step 6: Final answer
    x = 178,868.85

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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.