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Finding the Fourth Proportional to 285,166.88, 427,663.92 and 118,916

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Solution

The fourth proportional to 285,166.88, 427,663.92 and 118,916 is: 178,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,166.88 : 427,663.92 = 118,916 : x
  2. Step 2: Convert to fraction form
    285,166.88/427,663.92 = 118,916/x
  3. Step 3: Cross multiply
    285,166.88x = 427,663.92 × 118,916
  4. Step 4: Simplify right side
    285,166.88x = 50,856,082,710.72
  5. Step 5: Solve for x
    x = 50,856,082,710.72/285,166.88
  6. Step 6: Final answer
    x = 178,337.97

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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.