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Finding the Fourth Proportional to 120,168.69, 180,209.93 and 35,913.17

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Solution

The fourth proportional to 120,168.69, 180,209.93 and 35,913.17 is: 53,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.69 : 180,209.93 = 35,913.17 : x
  2. Step 2: Convert to fraction form
    120,168.69/180,209.93 = 35,913.17/x
  3. Step 3: Cross multiply
    120,168.69x = 180,209.93 × 35,913.17
  4. Step 4: Simplify right side
    120,168.69x = 6,471,908,771.16
  5. Step 5: Solve for x
    x = 6,471,908,771.16/120,168.69
  6. Step 6: Final answer
    x = 53,856.86

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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.