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Finding the Fourth Proportional to 120,373.32, 180,492.44 and 82,465.41

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Solution

The fourth proportional to 120,373.32, 180,492.44 and 82,465.41 is: 123,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,373.32 : 180,492.44 = 82,465.41 : x
  2. Step 2: Convert to fraction form
    120,373.32/180,492.44 = 82,465.41/x
  3. Step 3: Cross multiply
    120,373.32x = 180,492.44 × 82,465.41
  4. Step 4: Simplify right side
    120,373.32x = 14,884,381,751.71
  5. Step 5: Solve for x
    x = 14,884,381,751.71/120,373.32
  6. Step 6: Final answer
    x = 123,651.84

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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.