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Finding the Fourth Proportional to 211,322.64, 317,033.10 and 61,578.84

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Solution

The fourth proportional to 211,322.64, 317,033.10 and 61,578.84 is: 92,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,322.64 : 317,033.10 = 61,578.84 : x
  2. Step 2: Convert to fraction form
    211,322.64/317,033.10 = 61,578.84/x
  3. Step 3: Cross multiply
    211,322.64x = 317,033.10 × 61,578.84
  4. Step 4: Simplify right side
    211,322.64x = 19,522,530,539.60
  5. Step 5: Solve for x
    x = 19,522,530,539.60/211,322.64
  6. Step 6: Final answer
    x = 92,382.58

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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.