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Finding the Fourth Proportional to 208,563.68, 312,845.36 and 75,412.72

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Solution

The fourth proportional to 208,563.68, 312,845.36 and 75,412.72 is: 113,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.68 : 312,845.36 = 75,412.72 : x
  2. Step 2: Convert to fraction form
    208,563.68/312,845.36 = 75,412.72/x
  3. Step 3: Cross multiply
    208,563.68x = 312,845.36 × 75,412.72
  4. Step 4: Simplify right side
    208,563.68x = 23,592,519,536.98
  5. Step 5: Solve for x
    x = 23,592,519,536.98/208,563.68
  6. Step 6: Final answer
    x = 113,119.02

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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.