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Finding the Fourth Proportional to 101,610.40, 152,415.60 and 31,496.80

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Solution

The fourth proportional to 101,610.40, 152,415.60 and 31,496.80 is: 47,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,610.40 : 152,415.60 = 31,496.80 : x
  2. Step 2: Convert to fraction form
    101,610.40/152,415.60 = 31,496.80/x
  3. Step 3: Cross multiply
    101,610.40x = 152,415.60 × 31,496.80
  4. Step 4: Simplify right side
    101,610.40x = 4,800,603,670.08
  5. Step 5: Solve for x
    x = 4,800,603,670.08/101,610.40
  6. Step 6: Final answer
    x = 47,245.20

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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.