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Finding the Fourth Proportional to 197,691, 295,792.50 and 138,641.88

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Solution

The fourth proportional to 197,691, 295,792.50 and 138,641.88 is: 207,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,691 : 295,792.50 = 138,641.88 : x
  2. Step 2: Convert to fraction form
    197,691/295,792.50 = 138,641.88/x
  3. Step 3: Cross multiply
    197,691x = 295,792.50 × 138,641.88
  4. Step 4: Simplify right side
    197,691x = 41,009,228,289.90
  5. Step 5: Solve for x
    x = 41,009,228,289.90/197,691
  6. Step 6: Final answer
    x = 207,441.05

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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.