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Finding the Fourth Proportional to 69,506, 95,918.28 and 39,698

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Solution

The fourth proportional to 69,506, 95,918.28 and 39,698 is: 54,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,506 : 95,918.28 = 39,698 : x
  2. Step 2: Convert to fraction form
    69,506/95,918.28 = 39,698/x
  3. Step 3: Cross multiply
    69,506x = 95,918.28 × 39,698
  4. Step 4: Simplify right side
    69,506x = 3,807,763,879.44
  5. Step 5: Solve for x
    x = 3,807,763,879.44/69,506
  6. Step 6: Final answer
    x = 54,783.24

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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.