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Finding the Fourth Proportional to 201,856.99, 302,847.77 and 75,510

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Solution

The fourth proportional to 201,856.99, 302,847.77 and 75,510 is: 113,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.99 : 302,847.77 = 75,510 : x
  2. Step 2: Convert to fraction form
    201,856.99/302,847.77 = 75,510/x
  3. Step 3: Cross multiply
    201,856.99x = 302,847.77 × 75,510
  4. Step 4: Simplify right side
    201,856.99x = 22,868,035,112.70
  5. Step 5: Solve for x
    x = 22,868,035,112.70/201,856.99
  6. Step 6: Final answer
    x = 113,288.30

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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.