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Finding the Fourth Proportional to 189,867, 284,614.20 and 105,667.50

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Solution

The fourth proportional to 189,867, 284,614.20 and 105,667.50 is: 158,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,867 : 284,614.20 = 105,667.50 : x
  2. Step 2: Convert to fraction form
    189,867/284,614.20 = 105,667.50/x
  3. Step 3: Cross multiply
    189,867x = 284,614.20 × 105,667.50
  4. Step 4: Simplify right side
    189,867x = 30,074,470,978.50
  5. Step 5: Solve for x
    x = 30,074,470,978.50/189,867
  6. Step 6: Final answer
    x = 158,397.57

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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.