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Finding the Fourth Proportional to 206,665, 310,000.38 and 58,921

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Solution

The fourth proportional to 206,665, 310,000.38 and 58,921 is: 88,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,665 : 310,000.38 = 58,921 : x
  2. Step 2: Convert to fraction form
    206,665/310,000.38 = 58,921/x
  3. Step 3: Cross multiply
    206,665x = 310,000.38 × 58,921
  4. Step 4: Simplify right side
    206,665x = 18,265,532,389.98
  5. Step 5: Solve for x
    x = 18,265,532,389.98/206,665
  6. Step 6: Final answer
    x = 88,382.32

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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.