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Finding the Fourth Proportional to 102,040.80, 152,758.80 and 75,861.60

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Solution

The fourth proportional to 102,040.80, 152,758.80 and 75,861.60 is: 113,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,040.80 : 152,758.80 = 75,861.60 : x
  2. Step 2: Convert to fraction form
    102,040.80/152,758.80 = 75,861.60/x
  3. Step 3: Cross multiply
    102,040.80x = 152,758.80 × 75,861.60
  4. Step 4: Simplify right side
    102,040.80x = 11,588,526,982.08
  5. Step 5: Solve for x
    x = 11,588,526,982.08/102,040.80
  6. Step 6: Final answer
    x = 113,567.58

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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.