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Finding the Fourth Proportional to 199,904.40, 299,813.40 and 87,584.40

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Solution

The fourth proportional to 199,904.40, 299,813.40 and 87,584.40 is: 131,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,904.40 : 299,813.40 = 87,584.40 : x
  2. Step 2: Convert to fraction form
    199,904.40/299,813.40 = 87,584.40/x
  3. Step 3: Cross multiply
    199,904.40x = 299,813.40 × 87,584.40
  4. Step 4: Simplify right side
    199,904.40x = 26,258,976,750.96
  5. Step 5: Solve for x
    x = 26,258,976,750.96/199,904.40
  6. Step 6: Final answer
    x = 131,357.67

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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.