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Finding the Fourth Proportional to 120,164.16, 180,230.60 and 31,424.51

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Solution

The fourth proportional to 120,164.16, 180,230.60 and 31,424.51 is: 47,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.16 : 180,230.60 = 31,424.51 : x
  2. Step 2: Convert to fraction form
    120,164.16/180,230.60 = 31,424.51/x
  3. Step 3: Cross multiply
    120,164.16x = 180,230.60 × 31,424.51
  4. Step 4: Simplify right side
    120,164.16x = 5,663,658,292.01
  5. Step 5: Solve for x
    x = 5,663,658,292.01/120,164.16
  6. Step 6: Final answer
    x = 47,132.67

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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.