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Finding the Fourth Proportional to 189,873, 284,623.20 and 105,673.50

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Solution

The fourth proportional to 189,873, 284,623.20 and 105,673.50 is: 158,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,873 : 284,623.20 = 105,673.50 : x
  2. Step 2: Convert to fraction form
    189,873/284,623.20 = 105,673.50/x
  3. Step 3: Cross multiply
    189,873x = 284,623.20 × 105,673.50
  4. Step 4: Simplify right side
    189,873x = 30,077,129,725.20
  5. Step 5: Solve for x
    x = 30,077,129,725.20/189,873
  6. Step 6: Final answer
    x = 158,406.57

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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.