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Finding the Fourth Proportional to 66,412.83, 91,649.12 and 36,198.16

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Solution

The fourth proportional to 66,412.83, 91,649.12 and 36,198.16 is: 49,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,412.83 : 91,649.12 = 36,198.16 : x
  2. Step 2: Convert to fraction form
    66,412.83/91,649.12 = 36,198.16/x
  3. Step 3: Cross multiply
    66,412.83x = 91,649.12 × 36,198.16
  4. Step 4: Simplify right side
    66,412.83x = 3,317,529,051.37
  5. Step 5: Solve for x
    x = 3,317,529,051.37/66,412.83
  6. Step 6: Final answer
    x = 49,953.13

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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.