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Finding the Fourth Proportional to 120,855.52, 180,991.62 and 72,685.60

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Solution

The fourth proportional to 120,855.52, 180,991.62 and 72,685.60 is: 108,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855.52 : 180,991.62 = 72,685.60 : x
  2. Step 2: Convert to fraction form
    120,855.52/180,991.62 = 72,685.60/x
  3. Step 3: Cross multiply
    120,855.52x = 180,991.62 × 72,685.60
  4. Step 4: Simplify right side
    120,855.52x = 13,155,484,494.67
  5. Step 5: Solve for x
    x = 13,155,484,494.67/120,855.52
  6. Step 6: Final answer
    x = 108,852.99

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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.