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Finding the Fourth Proportional to 120,071.54, 180,107.32 and 45,208.48

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Solution

The fourth proportional to 120,071.54, 180,107.32 and 45,208.48 is: 67,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,071.54 : 180,107.32 = 45,208.48 : x
  2. Step 2: Convert to fraction form
    120,071.54/180,107.32 = 45,208.48/x
  3. Step 3: Cross multiply
    120,071.54x = 180,107.32 × 45,208.48
  4. Step 4: Simplify right side
    120,071.54x = 8,142,378,174.07
  5. Step 5: Solve for x
    x = 8,142,378,174.07/120,071.54
  6. Step 6: Final answer
    x = 67,812.72

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Similar ratio
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1.5x scale

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.