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Finding the Fourth Proportional to 66,198.51, 91,355.70 and 35,985.87

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Solution

The fourth proportional to 66,198.51, 91,355.70 and 35,985.87 is: 49,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,198.51 : 91,355.70 = 35,985.87 : x
  2. Step 2: Convert to fraction form
    66,198.51/91,355.70 = 35,985.87/x
  3. Step 3: Cross multiply
    66,198.51x = 91,355.70 × 35,985.87
  4. Step 4: Simplify right side
    66,198.51x = 3,287,514,343.96
  5. Step 5: Solve for x
    x = 3,287,514,343.96/66,198.51
  6. Step 6: Final answer
    x = 49,661.46

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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.