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Finding the Fourth Proportional to 180,044.78, 270,100 and 61,728.08

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Solution

The fourth proportional to 180,044.78, 270,100 and 61,728.08 is: 92,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,044.78 : 270,100 = 61,728.08 : x
  2. Step 2: Convert to fraction form
    180,044.78/270,100 = 61,728.08/x
  3. Step 3: Cross multiply
    180,044.78x = 270,100 × 61,728.08
  4. Step 4: Simplify right side
    180,044.78x = 16,672,754,408
  5. Step 5: Solve for x
    x = 16,672,754,408/180,044.78
  6. Step 6: Final answer
    x = 92,603.38

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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.