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Finding the Fourth Proportional to 208,205.80, 312,308.70 and 95,885.80

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Solution

The fourth proportional to 208,205.80, 312,308.70 and 95,885.80 is: 143,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.80 : 312,308.70 = 95,885.80 : x
  2. Step 2: Convert to fraction form
    208,205.80/312,308.70 = 95,885.80/x
  3. Step 3: Cross multiply
    208,205.80x = 312,308.70 × 95,885.80
  4. Step 4: Simplify right side
    208,205.80x = 29,945,969,546.46
  5. Step 5: Solve for x
    x = 29,945,969,546.46/208,205.80
  6. Step 6: Final answer
    x = 143,828.70

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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.