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Finding the Fourth Proportional to 78,706.40, 118,059.60 and 31,992.80

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Solution

The fourth proportional to 78,706.40, 118,059.60 and 31,992.80 is: 47,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,706.40 : 118,059.60 = 31,992.80 : x
  2. Step 2: Convert to fraction form
    78,706.40/118,059.60 = 31,992.80/x
  3. Step 3: Cross multiply
    78,706.40x = 118,059.60 × 31,992.80
  4. Step 4: Simplify right side
    78,706.40x = 3,777,057,170.88
  5. Step 5: Solve for x
    x = 3,777,057,170.88/78,706.40
  6. Step 6: Final answer
    x = 47,989.20

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1.5x scale

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.