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Finding the Fourth Proportional to 198,259.90, 297,292.16 and 71,881.16

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Solution

The fourth proportional to 198,259.90, 297,292.16 and 71,881.16 is: 107,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,259.90 : 297,292.16 = 71,881.16 : x
  2. Step 2: Convert to fraction form
    198,259.90/297,292.16 = 71,881.16/x
  3. Step 3: Cross multiply
    198,259.90x = 297,292.16 × 71,881.16
  4. Step 4: Simplify right side
    198,259.90x = 21,369,704,012.95
  5. Step 5: Solve for x
    x = 21,369,704,012.95/198,259.90
  6. Step 6: Final answer
    x = 107,786.32

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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.