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Finding the Fourth Proportional to 103,661.74, 143,097.34 and 69,689.93

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Solution

The fourth proportional to 103,661.74, 143,097.34 and 69,689.93 is: 96,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,661.74 : 143,097.34 = 69,689.93 : x
  2. Step 2: Convert to fraction form
    103,661.74/143,097.34 = 69,689.93/x
  3. Step 3: Cross multiply
    103,661.74x = 143,097.34 × 69,689.93
  4. Step 4: Simplify right side
    103,661.74x = 9,972,443,653.67
  5. Step 5: Solve for x
    x = 9,972,443,653.67/103,661.74
  6. Step 6: Final answer
    x = 96,201.78

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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.