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Finding the Fourth Proportional to 78,771, 118,156.50 and 20,403

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Solution

The fourth proportional to 78,771, 118,156.50 and 20,403 is: 30,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,771 : 118,156.50 = 20,403 : x
  2. Step 2: Convert to fraction form
    78,771/118,156.50 = 20,403/x
  3. Step 3: Cross multiply
    78,771x = 118,156.50 × 20,403
  4. Step 4: Simplify right side
    78,771x = 2,410,747,069.50
  5. Step 5: Solve for x
    x = 2,410,747,069.50/78,771
  6. Step 6: Final answer
    x = 30,604.50

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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.