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Finding the Fourth Proportional to 123,704.96, 170,684.42 and 69,978.24

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Solution

The fourth proportional to 123,704.96, 170,684.42 and 69,978.24 is: 96,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,704.96 : 170,684.42 = 69,978.24 : x
  2. Step 2: Convert to fraction form
    123,704.96/170,684.42 = 69,978.24/x
  3. Step 3: Cross multiply
    123,704.96x = 170,684.42 × 69,978.24
  4. Step 4: Simplify right side
    123,704.96x = 11,944,194,957.13
  5. Step 5: Solve for x
    x = 11,944,194,957.13/123,704.96
  6. Step 6: Final answer
    x = 96,553.89

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1.5x scale

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.