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Finding the Fourth Proportional to 85,243.71, 117,686.73 and 75,786.11

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Solution

The fourth proportional to 85,243.71, 117,686.73 and 75,786.11 is: 104,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,243.71 : 117,686.73 = 75,786.11 : x
  2. Step 2: Convert to fraction form
    85,243.71/117,686.73 = 75,786.11/x
  3. Step 3: Cross multiply
    85,243.71x = 117,686.73 × 75,786.11
  4. Step 4: Simplify right side
    85,243.71x = 8,919,019,465.32
  5. Step 5: Solve for x
    x = 8,919,019,465.32/85,243.71
  6. Step 6: Final answer
    x = 104,629.65

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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.