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Finding the Fourth Proportional to 123,356.16, 170,231.54 and 69,644.64

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Solution

The fourth proportional to 123,356.16, 170,231.54 and 69,644.64 is: 96,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,356.16 : 170,231.54 = 69,644.64 : x
  2. Step 2: Convert to fraction form
    123,356.16/170,231.54 = 69,644.64/x
  3. Step 3: Cross multiply
    123,356.16x = 170,231.54 × 69,644.64
  4. Step 4: Simplify right side
    123,356.16x = 11,855,713,468.79
  5. Step 5: Solve for x
    x = 11,855,713,468.79/123,356.16
  6. Step 6: Final answer
    x = 96,109.62

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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.