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Finding the Fourth Proportional to 208,530.99, 312,793.57 and 82,172.34

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Solution

The fourth proportional to 208,530.99, 312,793.57 and 82,172.34 is: 123,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530.99 : 312,793.57 = 82,172.34 : x
  2. Step 2: Convert to fraction form
    208,530.99/312,793.57 = 82,172.34/x
  3. Step 3: Cross multiply
    208,530.99x = 312,793.57 × 82,172.34
  4. Step 4: Simplify right side
    208,530.99x = 25,702,977,814.46
  5. Step 5: Solve for x
    x = 25,702,977,814.46/208,530.99
  6. Step 6: Final answer
    x = 123,257.35

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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.