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Finding the Fourth Proportional to 189,682.65, 284,278.69 and 141,923.03

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Solution

The fourth proportional to 189,682.65, 284,278.69 and 141,923.03 is: 212,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,682.65 : 284,278.69 = 141,923.03 : x
  2. Step 2: Convert to fraction form
    189,682.65/284,278.69 = 141,923.03/x
  3. Step 3: Cross multiply
    189,682.65x = 284,278.69 × 141,923.03
  4. Step 4: Simplify right side
    189,682.65x = 40,345,691,627.84
  5. Step 5: Solve for x
    x = 40,345,691,627.84/189,682.65
  6. Step 6: Final answer
    x = 212,701.01

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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.