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Finding the Fourth Proportional to 228,045.42, 341,950.95 and 78,245.37

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Solution

The fourth proportional to 228,045.42, 341,950.95 and 78,245.37 is: 117,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.42 : 341,950.95 = 78,245.37 : x
  2. Step 2: Convert to fraction form
    228,045.42/341,950.95 = 78,245.37/x
  3. Step 3: Cross multiply
    228,045.42x = 341,950.95 × 78,245.37
  4. Step 4: Simplify right side
    228,045.42x = 26,756,078,604.60
  5. Step 5: Solve for x
    x = 26,756,078,604.60/228,045.42
  6. Step 6: Final answer
    x = 117,327.85

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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.