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Finding the Fourth Proportional to 201,889.40, 302,761.20 and 102,016.40

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Solution

The fourth proportional to 201,889.40, 302,761.20 and 102,016.40 is: 152,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889.40 : 302,761.20 = 102,016.40 : x
  2. Step 2: Convert to fraction form
    201,889.40/302,761.20 = 102,016.40/x
  3. Step 3: Cross multiply
    201,889.40x = 302,761.20 × 102,016.40
  4. Step 4: Simplify right side
    201,889.40x = 30,886,607,683.68
  5. Step 5: Solve for x
    x = 30,886,607,683.68/201,889.40
  6. Step 6: Final answer
    x = 152,987.76

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1.5x scale

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.