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Finding the Fourth Proportional to 103,474.89, 142,849.76 and 69,661.17

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Solution

The fourth proportional to 103,474.89, 142,849.76 and 69,661.17 is: 96,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474.89 : 142,849.76 = 69,661.17 : x
  2. Step 2: Convert to fraction form
    103,474.89/142,849.76 = 69,661.17/x
  3. Step 3: Cross multiply
    103,474.89x = 142,849.76 × 69,661.17
  4. Step 4: Simplify right side
    103,474.89x = 9,951,081,067.51
  5. Step 5: Solve for x
    x = 9,951,081,067.51/103,474.89
  6. Step 6: Final answer
    x = 96,169.04

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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.