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Finding the Fourth Proportional to 85,686, 128,612.10 and 41,343.90

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Solution

The fourth proportional to 85,686, 128,612.10 and 41,343.90 is: 62,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,686 : 128,612.10 = 41,343.90 : x
  2. Step 2: Convert to fraction form
    85,686/128,612.10 = 41,343.90/x
  3. Step 3: Cross multiply
    85,686x = 128,612.10 × 41,343.90
  4. Step 4: Simplify right side
    85,686x = 5,317,325,801.19
  5. Step 5: Solve for x
    x = 5,317,325,801.19/85,686
  6. Step 6: Final answer
    x = 62,055.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.