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Finding the Fourth Proportional to 100,806.96, 138,813.32 and 98,569.31

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Solution

The fourth proportional to 100,806.96, 138,813.32 and 98,569.31 is: 135,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,806.96 : 138,813.32 = 98,569.31 : x
  2. Step 2: Convert to fraction form
    100,806.96/138,813.32 = 98,569.31/x
  3. Step 3: Cross multiply
    100,806.96x = 138,813.32 × 98,569.31
  4. Step 4: Simplify right side
    100,806.96x = 13,682,733,617.58
  5. Step 5: Solve for x
    x = 13,682,733,617.58/100,806.96
  6. Step 6: Final answer
    x = 135,732.03

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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.