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Finding the Fourth Proportional to 189,905.70, 284,858.55 and 119,046.90

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Solution

The fourth proportional to 189,905.70, 284,858.55 and 119,046.90 is: 178,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,905.70 : 284,858.55 = 119,046.90 : x
  2. Step 2: Convert to fraction form
    189,905.70/284,858.55 = 119,046.90/x
  3. Step 3: Cross multiply
    189,905.70x = 284,858.55 × 119,046.90
  4. Step 4: Simplify right side
    189,905.70x = 33,911,527,316.00
  5. Step 5: Solve for x
    x = 33,911,527,316.00/189,905.70
  6. Step 6: Final answer
    x = 178,570.35

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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.