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Finding the Fourth Proportional to 76,342.50, 114,516.99 and 20,938.50

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Solution

The fourth proportional to 76,342.50, 114,516.99 and 20,938.50 is: 31,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,342.50 : 114,516.99 = 20,938.50 : x
  2. Step 2: Convert to fraction form
    76,342.50/114,516.99 = 20,938.50/x
  3. Step 3: Cross multiply
    76,342.50x = 114,516.99 × 20,938.50
  4. Step 4: Simplify right side
    76,342.50x = 2,397,813,995.12
  5. Step 5: Solve for x
    x = 2,397,813,995.12/76,342.50
  6. Step 6: Final answer
    x = 31,408.64

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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.