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Finding the Fourth Proportional to 208,021, 312,083.34 and 60,277

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Solution

The fourth proportional to 208,021, 312,083.34 and 60,277 is: 90,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,021 : 312,083.34 = 60,277 : x
  2. Step 2: Convert to fraction form
    208,021/312,083.34 = 60,277/x
  3. Step 3: Cross multiply
    208,021x = 312,083.34 × 60,277
  4. Step 4: Simplify right side
    208,021x = 18,811,447,485.18
  5. Step 5: Solve for x
    x = 18,811,447,485.18/208,021
  6. Step 6: Final answer
    x = 90,430.52

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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.