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Finding the Fourth Proportional to 180,939.97, 271,411.71 and 68,590

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Solution

The fourth proportional to 180,939.97, 271,411.71 and 68,590 is: 102,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,939.97 : 271,411.71 = 68,590 : x
  2. Step 2: Convert to fraction form
    180,939.97/271,411.71 = 68,590/x
  3. Step 3: Cross multiply
    180,939.97x = 271,411.71 × 68,590
  4. Step 4: Simplify right side
    180,939.97x = 18,616,129,188.90
  5. Step 5: Solve for x
    x = 18,616,129,188.90/180,939.97
  6. Step 6: Final answer
    x = 102,885.67

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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.