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Finding the Fourth Proportional to 211,634.33, 317,448 and 85,271.49

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Solution

The fourth proportional to 211,634.33, 317,448 and 85,271.49 is: 127,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,634.33 : 317,448 = 85,271.49 : x
  2. Step 2: Convert to fraction form
    211,634.33/317,448 = 85,271.49/x
  3. Step 3: Cross multiply
    211,634.33x = 317,448 × 85,271.49
  4. Step 4: Simplify right side
    211,634.33x = 27,069,263,957.52
  5. Step 5: Solve for x
    x = 27,069,263,957.52/211,634.33
  6. Step 6: Final answer
    x = 127,905.83

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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.