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Finding the Fourth Proportional to 120,094.84, 180,141.90 and 84,409.24

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Solution

The fourth proportional to 120,094.84, 180,141.90 and 84,409.24 is: 126,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,094.84 : 180,141.90 = 84,409.24 : x
  2. Step 2: Convert to fraction form
    120,094.84/180,141.90 = 84,409.24/x
  3. Step 3: Cross multiply
    120,094.84x = 180,141.90 × 84,409.24
  4. Step 4: Simplify right side
    120,094.84x = 15,205,640,871.16
  5. Step 5: Solve for x
    x = 15,205,640,871.16/120,094.84
  6. Step 6: Final answer
    x = 126,613.61

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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.