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Finding the Fourth Proportional to 208,282.87, 312,359.70 and 75,145.82

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Solution

The fourth proportional to 208,282.87, 312,359.70 and 75,145.82 is: 112,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,282.87 : 312,359.70 = 75,145.82 : x
  2. Step 2: Convert to fraction form
    208,282.87/312,359.70 = 75,145.82/x
  3. Step 3: Cross multiply
    208,282.87x = 312,359.70 × 75,145.82
  4. Step 4: Simplify right side
    208,282.87x = 23,472,525,791.45
  5. Step 5: Solve for x
    x = 23,472,525,791.45/208,282.87
  6. Step 6: Final answer
    x = 112,695.42

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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.