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Finding the Fourth Proportional to 86,686, 119,626.68 and 46,942

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Solution

The fourth proportional to 86,686, 119,626.68 and 46,942 is: 64,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686 : 119,626.68 = 46,942 : x
  2. Step 2: Convert to fraction form
    86,686/119,626.68 = 46,942/x
  3. Step 3: Cross multiply
    86,686x = 119,626.68 × 46,942
  4. Step 4: Simplify right side
    86,686x = 5,615,515,612.56
  5. Step 5: Solve for x
    x = 5,615,515,612.56/86,686
  6. Step 6: Final answer
    x = 64,779.96

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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.