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Finding the Fourth Proportional to 206,993, 310,564.48 and 101,885.78

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Solution

The fourth proportional to 206,993, 310,564.48 and 101,885.78 is: 152,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,993 : 310,564.48 = 101,885.78 : x
  2. Step 2: Convert to fraction form
    206,993/310,564.48 = 101,885.78/x
  3. Step 3: Cross multiply
    206,993x = 310,564.48 × 101,885.78
  4. Step 4: Simplify right side
    206,993x = 31,642,104,285.09
  5. Step 5: Solve for x
    x = 31,642,104,285.09/206,993
  6. Step 6: Final answer
    x = 152,865.58

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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.