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Finding the Fourth Proportional to 228,024.63, 342,043.89 and 78,262.77

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Solution

The fourth proportional to 228,024.63, 342,043.89 and 78,262.77 is: 117,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,024.63 : 342,043.89 = 78,262.77 : x
  2. Step 2: Convert to fraction form
    228,024.63/342,043.89 = 78,262.77/x
  3. Step 3: Cross multiply
    228,024.63x = 342,043.89 × 78,262.77
  4. Step 4: Simplify right side
    228,024.63x = 26,769,302,292.98
  5. Step 5: Solve for x
    x = 26,769,302,292.98/228,024.63
  6. Step 6: Final answer
    x = 117,396.54

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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.