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Finding the Fourth Proportional to 145,791.87, 201,191.88 and 82,150.17

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Solution

The fourth proportional to 145,791.87, 201,191.88 and 82,150.17 is: 113,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,791.87 : 201,191.88 = 82,150.17 : x
  2. Step 2: Convert to fraction form
    145,791.87/201,191.88 = 82,150.17/x
  3. Step 3: Cross multiply
    145,791.87x = 201,191.88 × 82,150.17
  4. Step 4: Simplify right side
    145,791.87x = 16,527,946,698.21
  5. Step 5: Solve for x
    x = 16,527,946,698.21/145,791.87
  6. Step 6: Final answer
    x = 113,366.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.