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Finding the Fourth Proportional to 78,704.84, 118,074.07 and 25,399.86

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Solution

The fourth proportional to 78,704.84, 118,074.07 and 25,399.86 is: 38,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,704.84 : 118,074.07 = 25,399.86 : x
  2. Step 2: Convert to fraction form
    78,704.84/118,074.07 = 25,399.86/x
  3. Step 3: Cross multiply
    78,704.84x = 118,074.07 × 25,399.86
  4. Step 4: Simplify right side
    78,704.84x = 2,999,064,257.26
  5. Step 5: Solve for x
    x = 2,999,064,257.26/78,704.84
  6. Step 6: Final answer
    x = 38,105.21

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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.