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Finding the Fourth Proportional to 180,013.29, 270,019.94 and 55,354.29

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Solution

The fourth proportional to 180,013.29, 270,019.94 and 55,354.29 is: 83,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,013.29 : 270,019.94 = 55,354.29 : x
  2. Step 2: Convert to fraction form
    180,013.29/270,019.94 = 55,354.29/x
  3. Step 3: Cross multiply
    180,013.29x = 270,019.94 × 55,354.29
  4. Step 4: Simplify right side
    180,013.29x = 14,946,761,787.77
  5. Step 5: Solve for x
    x = 14,946,761,787.77/180,013.29
  6. Step 6: Final answer
    x = 83,031.44

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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.