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Finding the Fourth Proportional to 199,794.40, 299,648.40 and 87,474.40

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Solution

The fourth proportional to 199,794.40, 299,648.40 and 87,474.40 is: 131,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,794.40 : 299,648.40 = 87,474.40 : x
  2. Step 2: Convert to fraction form
    199,794.40/299,648.40 = 87,474.40/x
  3. Step 3: Cross multiply
    199,794.40x = 299,648.40 × 87,474.40
  4. Step 4: Simplify right side
    199,794.40x = 26,211,564,000.96
  5. Step 5: Solve for x
    x = 26,211,564,000.96/199,794.40
  6. Step 6: Final answer
    x = 131,192.69

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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.