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Finding the Fourth Proportional to 153,676.46, 212,072.61 and 85,694.24

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Solution

The fourth proportional to 153,676.46, 212,072.61 and 85,694.24 is: 118,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,676.46 : 212,072.61 = 85,694.24 : x
  2. Step 2: Convert to fraction form
    153,676.46/212,072.61 = 85,694.24/x
  3. Step 3: Cross multiply
    153,676.46x = 212,072.61 × 85,694.24
  4. Step 4: Simplify right side
    153,676.46x = 18,173,401,138.77
  5. Step 5: Solve for x
    x = 18,173,401,138.77/153,676.46
  6. Step 6: Final answer
    x = 118,257.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.