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Finding the Fourth Proportional to 120,717.60, 181,076.40 and 31,984.80

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Solution

The fourth proportional to 120,717.60, 181,076.40 and 31,984.80 is: 47,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717.60 : 181,076.40 = 31,984.80 : x
  2. Step 2: Convert to fraction form
    120,717.60/181,076.40 = 31,984.80/x
  3. Step 3: Cross multiply
    120,717.60x = 181,076.40 × 31,984.80
  4. Step 4: Simplify right side
    120,717.60x = 5,791,692,438.72
  5. Step 5: Solve for x
    x = 5,791,692,438.72/120,717.60
  6. Step 6: Final answer
    x = 47,977.20

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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.