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Finding the Fourth Proportional to 78,784, 118,176 and 23,380

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Solution

The fourth proportional to 78,784, 118,176 and 23,380 is: 35,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784 : 118,176 = 23,380 : x
  2. Step 2: Convert to fraction form
    78,784/118,176 = 23,380/x
  3. Step 3: Cross multiply
    78,784x = 118,176 × 23,380
  4. Step 4: Simplify right side
    78,784x = 2,762,954,880
  5. Step 5: Solve for x
    x = 2,762,954,880/78,784
  6. Step 6: Final answer
    x = 35,070

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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.