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Finding the Fourth Proportional to 190,466.62, 285,759.15 and 78,155.97

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Solution

The fourth proportional to 190,466.62, 285,759.15 and 78,155.97 is: 117,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,466.62 : 285,759.15 = 78,155.97 : x
  2. Step 2: Convert to fraction form
    190,466.62/285,759.15 = 78,155.97/x
  3. Step 3: Cross multiply
    190,466.62x = 285,759.15 × 78,155.97
  4. Step 4: Simplify right side
    190,466.62x = 22,333,783,554.63
  5. Step 5: Solve for x
    x = 22,333,783,554.63/190,466.62
  6. Step 6: Final answer
    x = 117,258.26

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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.