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Finding the Fourth Proportional to 197,895, 296,842.50 and 87,087

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Solution

The fourth proportional to 197,895, 296,842.50 and 87,087 is: 130,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,895 : 296,842.50 = 87,087 : x
  2. Step 2: Convert to fraction form
    197,895/296,842.50 = 87,087/x
  3. Step 3: Cross multiply
    197,895x = 296,842.50 × 87,087
  4. Step 4: Simplify right side
    197,895x = 25,851,122,797.50
  5. Step 5: Solve for x
    x = 25,851,122,797.50/197,895
  6. Step 6: Final answer
    x = 130,630.50

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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.