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Finding the Fourth Proportional to 201,471.81, 278,031.74 and 110,834.67

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Solution

The fourth proportional to 201,471.81, 278,031.74 and 110,834.67 is: 152,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471.81 : 278,031.74 = 110,834.67 : x
  2. Step 2: Convert to fraction form
    201,471.81/278,031.74 = 110,834.67/x
  3. Step 3: Cross multiply
    201,471.81x = 278,031.74 × 110,834.67
  4. Step 4: Simplify right side
    201,471.81x = 30,815,555,700.39
  5. Step 5: Solve for x
    x = 30,815,555,700.39/201,471.81
  6. Step 6: Final answer
    x = 152,952.19

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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.