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Finding the Fourth Proportional to 198,889, 274,404.66 and 112,833.64

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Solution

The fourth proportional to 198,889, 274,404.66 and 112,833.64 is: 155,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889 : 274,404.66 = 112,833.64 : x
  2. Step 2: Convert to fraction form
    198,889/274,404.66 = 112,833.64/x
  3. Step 3: Cross multiply
    198,889x = 274,404.66 × 112,833.64
  4. Step 4: Simplify right side
    198,889x = 30,962,076,620.76
  5. Step 5: Solve for x
    x = 30,962,076,620.76/198,889
  6. Step 6: Final answer
    x = 155,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.