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Finding the Fourth Proportional to 120,503.89, 180,753 and 41,610.70

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Solution

The fourth proportional to 120,503.89, 180,753 and 41,610.70 is: 62,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,503.89 : 180,753 = 41,610.70 : x
  2. Step 2: Convert to fraction form
    120,503.89/180,753 = 41,610.70/x
  3. Step 3: Cross multiply
    120,503.89x = 180,753 × 41,610.70
  4. Step 4: Simplify right side
    120,503.89x = 7,521,258,857.10
  5. Step 5: Solve for x
    x = 7,521,258,857.10/120,503.89
  6. Step 6: Final answer
    x = 62,415.07

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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.