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Finding the Fourth Proportional to 189,904.70, 284,857.05 and 119,045.90

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Solution

The fourth proportional to 189,904.70, 284,857.05 and 119,045.90 is: 178,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,904.70 : 284,857.05 = 119,045.90 : x
  2. Step 2: Convert to fraction form
    189,904.70/284,857.05 = 119,045.90/x
  3. Step 3: Cross multiply
    189,904.70x = 284,857.05 × 119,045.90
  4. Step 4: Simplify right side
    189,904.70x = 33,911,063,888.60
  5. Step 5: Solve for x
    x = 33,911,063,888.60/189,904.70
  6. Step 6: Final answer
    x = 178,568.85

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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.