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Finding the Fourth Proportional to 120,236, 180,383.70 and 37,130

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Solution

The fourth proportional to 120,236, 180,383.70 and 37,130 is: 55,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,236 : 180,383.70 = 37,130 : x
  2. Step 2: Convert to fraction form
    120,236/180,383.70 = 37,130/x
  3. Step 3: Cross multiply
    120,236x = 180,383.70 × 37,130
  4. Step 4: Simplify right side
    120,236x = 6,697,646,781
  5. Step 5: Solve for x
    x = 6,697,646,781/120,236
  6. Step 6: Final answer
    x = 55,704.17

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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.