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Finding the Fourth Proportional to 211,830.74, 317,745.84 and 54,059.20

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Solution

The fourth proportional to 211,830.74, 317,745.84 and 54,059.20 is: 81,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.74 : 317,745.84 = 54,059.20 : x
  2. Step 2: Convert to fraction form
    211,830.74/317,745.84 = 54,059.20/x
  3. Step 3: Cross multiply
    211,830.74x = 317,745.84 × 54,059.20
  4. Step 4: Simplify right side
    211,830.74x = 17,177,085,322.09
  5. Step 5: Solve for x
    x = 17,177,085,322.09/211,830.74
  6. Step 6: Final answer
    x = 81,088.73

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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.