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Finding the Fourth Proportional to 120,786, 180,981.69 and 73,415.58

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Solution

The fourth proportional to 120,786, 180,981.69 and 73,415.58 is: 110,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786 : 180,981.69 = 73,415.58 : x
  2. Step 2: Convert to fraction form
    120,786/180,981.69 = 73,415.58/x
  3. Step 3: Cross multiply
    120,786x = 180,981.69 × 73,415.58
  4. Step 4: Simplify right side
    120,786x = 13,286,875,740.73
  5. Step 5: Solve for x
    x = 13,286,875,740.73/120,786
  6. Step 6: Final answer
    x = 110,003.44

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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.