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Finding the Fourth Proportional to 69,702, 96,189.21 and 37,870.89

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Solution

The fourth proportional to 69,702, 96,189.21 and 37,870.89 is: 52,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702 : 96,189.21 = 37,870.89 : x
  2. Step 2: Convert to fraction form
    69,702/96,189.21 = 37,870.89/x
  3. Step 3: Cross multiply
    69,702x = 96,189.21 × 37,870.89
  4. Step 4: Simplify right side
    69,702x = 3,642,770,991.10
  5. Step 5: Solve for x
    x = 3,642,770,991.10/69,702
  6. Step 6: Final answer
    x = 52,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.