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Finding the Fourth Proportional to 120,130.92, 180,205.92 and 35,884.89

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Solution

The fourth proportional to 120,130.92, 180,205.92 and 35,884.89 is: 53,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,130.92 : 180,205.92 = 35,884.89 : x
  2. Step 2: Convert to fraction form
    120,130.92/180,205.92 = 35,884.89/x
  3. Step 3: Cross multiply
    120,130.92x = 180,205.92 × 35,884.89
  4. Step 4: Simplify right side
    120,130.92x = 6,466,669,616.55
  5. Step 5: Solve for x
    x = 6,466,669,616.55/120,130.92
  6. Step 6: Final answer
    x = 53,830.18

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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.