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Finding the Fourth Proportional to 208,633.95, 312,812.64 and 75,496.88

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Solution

The fourth proportional to 208,633.95, 312,812.64 and 75,496.88 is: 113,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,633.95 : 312,812.64 = 75,496.88 : x
  2. Step 2: Convert to fraction form
    208,633.95/312,812.64 = 75,496.88/x
  3. Step 3: Cross multiply
    208,633.95x = 312,812.64 × 75,496.88
  4. Step 4: Simplify right side
    208,633.95x = 23,616,378,344.56
  5. Step 5: Solve for x
    x = 23,616,378,344.56/208,633.95
  6. Step 6: Final answer
    x = 113,195.28

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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.