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Finding the Fourth Proportional to 208,106.70, 311,977.80 and 141,330.30

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Solution

The fourth proportional to 208,106.70, 311,977.80 and 141,330.30 is: 211,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,106.70 : 311,977.80 = 141,330.30 : x
  2. Step 2: Convert to fraction form
    208,106.70/311,977.80 = 141,330.30/x
  3. Step 3: Cross multiply
    208,106.70x = 311,977.80 × 141,330.30
  4. Step 4: Simplify right side
    208,106.70x = 44,091,916,067.34
  5. Step 5: Solve for x
    x = 44,091,916,067.34/208,106.70
  6. Step 6: Final answer
    x = 211,871.68

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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.