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Finding the Fourth Proportional to 197,883, 296,824.50 and 87,075

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Solution

The fourth proportional to 197,883, 296,824.50 and 87,075 is: 130,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,883 : 296,824.50 = 87,075 : x
  2. Step 2: Convert to fraction form
    197,883/296,824.50 = 87,075/x
  3. Step 3: Cross multiply
    197,883x = 296,824.50 × 87,075
  4. Step 4: Simplify right side
    197,883x = 25,845,993,337.50
  5. Step 5: Solve for x
    x = 25,845,993,337.50/197,883
  6. Step 6: Final answer
    x = 130,612.50

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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.