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Finding the Fourth Proportional to 197,284, 272,252.88 and 107,860

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Solution

The fourth proportional to 197,284, 272,252.88 and 107,860 is: 148,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,284 : 272,252.88 = 107,860 : x
  2. Step 2: Convert to fraction form
    197,284/272,252.88 = 107,860/x
  3. Step 3: Cross multiply
    197,284x = 272,252.88 × 107,860
  4. Step 4: Simplify right side
    197,284x = 29,365,195,636.80
  5. Step 5: Solve for x
    x = 29,365,195,636.80/197,284
  6. Step 6: Final answer
    x = 148,847.32

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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.