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Finding the Fourth Proportional to 208,515.20, 312,772.80 and 75,459.20

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Solution

The fourth proportional to 208,515.20, 312,772.80 and 75,459.20 is: 113,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,515.20 : 312,772.80 = 75,459.20 : x
  2. Step 2: Convert to fraction form
    208,515.20/312,772.80 = 75,459.20/x
  3. Step 3: Cross multiply
    208,515.20x = 312,772.80 × 75,459.20
  4. Step 4: Simplify right side
    208,515.20x = 23,601,585,269.76
  5. Step 5: Solve for x
    x = 23,601,585,269.76/208,515.20
  6. Step 6: Final answer
    x = 113,188.80

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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.