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Finding the Fourth Proportional to 198,312, 297,515.04 and 66,984

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Solution

The fourth proportional to 198,312, 297,515.04 and 66,984 is: 100,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,312 : 297,515.04 = 66,984 : x
  2. Step 2: Convert to fraction form
    198,312/297,515.04 = 66,984/x
  3. Step 3: Cross multiply
    198,312x = 297,515.04 × 66,984
  4. Step 4: Simplify right side
    198,312x = 19,928,747,439.36
  5. Step 5: Solve for x
    x = 19,928,747,439.36/198,312
  6. Step 6: Final answer
    x = 100,491.89

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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.