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Finding the Fourth Proportional to 120,104, 180,094.78 and 40,113.18

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Solution

The fourth proportional to 120,104, 180,094.78 and 40,113.18 is: 60,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,104 : 180,094.78 = 40,113.18 : x
  2. Step 2: Convert to fraction form
    120,104/180,094.78 = 40,113.18/x
  3. Step 3: Cross multiply
    120,104x = 180,094.78 × 40,113.18
  4. Step 4: Simplify right side
    120,104x = 7,224,174,327.20
  5. Step 5: Solve for x
    x = 7,224,174,327.20/120,104
  6. Step 6: Final answer
    x = 60,149.32

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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.