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Finding the Fourth Proportional to 78,469, 117,703.50 and 20,101

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Solution

The fourth proportional to 78,469, 117,703.50 and 20,101 is: 30,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469 : 117,703.50 = 20,101 : x
  2. Step 2: Convert to fraction form
    78,469/117,703.50 = 20,101/x
  3. Step 3: Cross multiply
    78,469x = 117,703.50 × 20,101
  4. Step 4: Simplify right side
    78,469x = 2,365,958,053.50
  5. Step 5: Solve for x
    x = 2,365,958,053.50/78,469
  6. Step 6: Final answer
    x = 30,151.50

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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.