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Finding the Fourth Proportional to 122,091.50, 183,969.20 and 100,391

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Solution

The fourth proportional to 122,091.50, 183,969.20 and 100,391 is: 151,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,091.50 : 183,969.20 = 100,391 : x
  2. Step 2: Convert to fraction form
    122,091.50/183,969.20 = 100,391/x
  3. Step 3: Cross multiply
    122,091.50x = 183,969.20 × 100,391
  4. Step 4: Simplify right side
    122,091.50x = 18,468,851,957.20
  5. Step 5: Solve for x
    x = 18,468,851,957.20/122,091.50
  6. Step 6: Final answer
    x = 151,270.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.