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Finding the Fourth Proportional to 120,127, 180,190.52 and 37,021

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Solution

The fourth proportional to 120,127, 180,190.52 and 37,021 is: 55,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,127 : 180,190.52 = 37,021 : x
  2. Step 2: Convert to fraction form
    120,127/180,190.52 = 37,021/x
  3. Step 3: Cross multiply
    120,127x = 180,190.52 × 37,021
  4. Step 4: Simplify right side
    120,127x = 6,670,833,240.92
  5. Step 5: Solve for x
    x = 6,670,833,240.92/120,127
  6. Step 6: Final answer
    x = 55,531.51

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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.