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Finding the Fourth Proportional to 120,119.02, 180,117.68 and 40,128.48

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Solution

The fourth proportional to 120,119.02, 180,117.68 and 40,128.48 is: 60,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,119.02 : 180,117.68 = 40,128.48 : x
  2. Step 2: Convert to fraction form
    120,119.02/180,117.68 = 40,128.48/x
  3. Step 3: Cross multiply
    120,119.02x = 180,117.68 × 40,128.48
  4. Step 4: Simplify right side
    120,119.02x = 7,227,848,518.88
  5. Step 5: Solve for x
    x = 7,227,848,518.88/120,119.02
  6. Step 6: Final answer
    x = 60,172.39

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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.