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Finding the Fourth Proportional to 100,651.52, 150,981.87 and 71,201

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Solution

The fourth proportional to 100,651.52, 150,981.87 and 71,201 is: 106,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.52 : 150,981.87 = 71,201 : x
  2. Step 2: Convert to fraction form
    100,651.52/150,981.87 = 71,201/x
  3. Step 3: Cross multiply
    100,651.52x = 150,981.87 × 71,201
  4. Step 4: Simplify right side
    100,651.52x = 10,750,060,125.87
  5. Step 5: Solve for x
    x = 10,750,060,125.87/100,651.52
  6. Step 6: Final answer
    x = 106,804.75

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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.