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Finding the Fourth Proportional to 120,602.87, 180,913.02 and 31,855.22

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Solution

The fourth proportional to 120,602.87, 180,913.02 and 31,855.22 is: 47,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.87 : 180,913.02 = 31,855.22 : x
  2. Step 2: Convert to fraction form
    120,602.87/180,913.02 = 31,855.22/x
  3. Step 3: Cross multiply
    120,602.87x = 180,913.02 × 31,855.22
  4. Step 4: Simplify right side
    120,602.87x = 5,763,023,707.37
  5. Step 5: Solve for x
    x = 5,763,023,707.37/120,602.87
  6. Step 6: Final answer
    x = 47,785.13

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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.