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Finding the Fourth Proportional to 120,367.56, 180,483.80 and 82,459.66

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Solution

The fourth proportional to 120,367.56, 180,483.80 and 82,459.66 is: 123,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,367.56 : 180,483.80 = 82,459.66 : x
  2. Step 2: Convert to fraction form
    120,367.56/180,483.80 = 82,459.66/x
  3. Step 3: Cross multiply
    120,367.56x = 180,483.80 × 82,459.66
  4. Step 4: Simplify right side
    120,367.56x = 14,882,632,783.51
  5. Step 5: Solve for x
    x = 14,882,632,783.51/120,367.56
  6. Step 6: Final answer
    x = 123,643.22

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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.