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Finding the Fourth Proportional to 103,661.68, 143,097.25 and 69,689.87

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Solution

The fourth proportional to 103,661.68, 143,097.25 and 69,689.87 is: 96,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,661.68 : 143,097.25 = 69,689.87 : x
  2. Step 2: Convert to fraction form
    103,661.68/143,097.25 = 69,689.87/x
  3. Step 3: Cross multiply
    103,661.68x = 143,097.25 × 69,689.87
  4. Step 4: Simplify right side
    103,661.68x = 9,972,428,653.45
  5. Step 5: Solve for x
    x = 9,972,428,653.45/103,661.68
  6. Step 6: Final answer
    x = 96,201.69

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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.