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Finding the Fourth Proportional to 208,584.42, 312,900.90 and 75,527.34

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Solution

The fourth proportional to 208,584.42, 312,900.90 and 75,527.34 is: 113,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,584.42 : 312,900.90 = 75,527.34 : x
  2. Step 2: Convert to fraction form
    208,584.42/312,900.90 = 75,527.34/x
  3. Step 3: Cross multiply
    208,584.42x = 312,900.90 × 75,527.34
  4. Step 4: Simplify right side
    208,584.42x = 23,632,572,660.61
  5. Step 5: Solve for x
    x = 23,632,572,660.61/208,584.42
  6. Step 6: Final answer
    x = 113,299.80

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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.