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Finding the Fourth Proportional to 120,457.40, 180,695.42 and 36,211

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Solution

The fourth proportional to 120,457.40, 180,695.42 and 36,211 is: 54,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,457.40 : 180,695.42 = 36,211 : x
  2. Step 2: Convert to fraction form
    120,457.40/180,695.42 = 36,211/x
  3. Step 3: Cross multiply
    120,457.40x = 180,695.42 × 36,211
  4. Step 4: Simplify right side
    120,457.40x = 6,543,161,853.62
  5. Step 5: Solve for x
    x = 6,543,161,853.62/120,457.40
  6. Step 6: Final answer
    x = 54,319.30

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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.