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Finding the Fourth Proportional to 120,094.83, 180,138.15 and 56,945.21

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Solution

The fourth proportional to 120,094.83, 180,138.15 and 56,945.21 is: 85,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,094.83 : 180,138.15 = 56,945.21 : x
  2. Step 2: Convert to fraction form
    120,094.83/180,138.15 = 56,945.21/x
  3. Step 3: Cross multiply
    120,094.83x = 180,138.15 × 56,945.21
  4. Step 4: Simplify right side
    120,094.83x = 10,258,003,880.07
  5. Step 5: Solve for x
    x = 10,258,003,880.07/120,094.83
  6. Step 6: Final answer
    x = 85,415.87

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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.