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Finding the Fourth Proportional to 123,562, 170,518.20 and 69,843.80

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Solution

The fourth proportional to 123,562, 170,518.20 and 69,843.80 is: 96,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,562 : 170,518.20 = 69,843.80 : x
  2. Step 2: Convert to fraction form
    123,562/170,518.20 = 69,843.80/x
  3. Step 3: Cross multiply
    123,562x = 170,518.20 × 69,843.80
  4. Step 4: Simplify right side
    123,562x = 11,909,639,057.16
  5. Step 5: Solve for x
    x = 11,909,639,057.16/123,562
  6. Step 6: Final answer
    x = 96,385.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.