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Finding the Fourth Proportional to 120,786.60, 180,834.30 and 106,962.60

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Solution

The fourth proportional to 120,786.60, 180,834.30 and 106,962.60 is: 160,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786.60 : 180,834.30 = 106,962.60 : x
  2. Step 2: Convert to fraction form
    120,786.60/180,834.30 = 106,962.60/x
  3. Step 3: Cross multiply
    120,786.60x = 180,834.30 × 106,962.60
  4. Step 4: Simplify right side
    120,786.60x = 19,342,506,897.18
  5. Step 5: Solve for x
    x = 19,342,506,897.18/120,786.60
  6. Step 6: Final answer
    x = 160,137.85

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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.