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Finding the Fourth Proportional to 189,497.80, 284,246.70 and 110,571.40

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Solution

The fourth proportional to 189,497.80, 284,246.70 and 110,571.40 is: 165,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,497.80 : 284,246.70 = 110,571.40 : x
  2. Step 2: Convert to fraction form
    189,497.80/284,246.70 = 110,571.40/x
  3. Step 3: Cross multiply
    189,497.80x = 284,246.70 × 110,571.40
  4. Step 4: Simplify right side
    189,497.80x = 31,429,555,564.38
  5. Step 5: Solve for x
    x = 31,429,555,564.38/189,497.80
  6. Step 6: Final answer
    x = 165,857.10

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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.