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Finding the Fourth Proportional to 228,611.84, 342,934.20 and 78,850

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Solution

The fourth proportional to 228,611.84, 342,934.20 and 78,850 is: 118,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,611.84 : 342,934.20 = 78,850 : x
  2. Step 2: Convert to fraction form
    228,611.84/342,934.20 = 78,850/x
  3. Step 3: Cross multiply
    228,611.84x = 342,934.20 × 78,850
  4. Step 4: Simplify right side
    228,611.84x = 27,040,361,670
  5. Step 5: Solve for x
    x = 27,040,361,670/228,611.84
  6. Step 6: Final answer
    x = 118,280.67

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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.