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Finding the Fourth Proportional to 208,025.70, 311,856.30 and 141,249.30

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Solution

The fourth proportional to 208,025.70, 311,856.30 and 141,249.30 is: 211,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,025.70 : 311,856.30 = 141,249.30 : x
  2. Step 2: Convert to fraction form
    208,025.70/311,856.30 = 141,249.30/x
  3. Step 3: Cross multiply
    208,025.70x = 311,856.30 × 141,249.30
  4. Step 4: Simplify right side
    208,025.70x = 44,049,484,075.59
  5. Step 5: Solve for x
    x = 44,049,484,075.59/208,025.70
  6. Step 6: Final answer
    x = 211,750.20

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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.