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Finding the Fourth Proportional to 211,979.80, 317,969.70 and 54,220.60

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Solution

The fourth proportional to 211,979.80, 317,969.70 and 54,220.60 is: 81,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,979.80 : 317,969.70 = 54,220.60 : x
  2. Step 2: Convert to fraction form
    211,979.80/317,969.70 = 54,220.60/x
  3. Step 3: Cross multiply
    211,979.80x = 317,969.70 × 54,220.60
  4. Step 4: Simplify right side
    211,979.80x = 17,240,507,915.82
  5. Step 5: Solve for x
    x = 17,240,507,915.82/211,979.80
  6. Step 6: Final answer
    x = 81,330.90

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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.