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Finding the Fourth Proportional to 120,828, 180,665.28 and 110,240.76

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Solution

The fourth proportional to 120,828, 180,665.28 and 110,240.76 is: 164,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,828 : 180,665.28 = 110,240.76 : x
  2. Step 2: Convert to fraction form
    120,828/180,665.28 = 110,240.76/x
  3. Step 3: Cross multiply
    120,828x = 180,665.28 × 110,240.76
  4. Step 4: Simplify right side
    120,828x = 19,916,677,772.81
  5. Step 5: Solve for x
    x = 19,916,677,772.81/120,828
  6. Step 6: Final answer
    x = 164,834.95

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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.