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Finding the Fourth Proportional to 123,620.91, 170,568.23 and 83,409.27

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Solution

The fourth proportional to 123,620.91, 170,568.23 and 83,409.27 is: 115,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,620.91 : 170,568.23 = 83,409.27 : x
  2. Step 2: Convert to fraction form
    123,620.91/170,568.23 = 83,409.27/x
  3. Step 3: Cross multiply
    123,620.91x = 170,568.23 × 83,409.27
  4. Step 4: Simplify right side
    123,620.91x = 14,226,971,549.49
  5. Step 5: Solve for x
    x = 14,226,971,549.49/123,620.91
  6. Step 6: Final answer
    x = 115,085.48

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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.