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Finding the Fourth Proportional to 100,629, 138,761.62 and 84,485.19

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Solution

The fourth proportional to 100,629, 138,761.62 and 84,485.19 is: 116,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,629 : 138,761.62 = 84,485.19 : x
  2. Step 2: Convert to fraction form
    100,629/138,761.62 = 84,485.19/x
  3. Step 3: Cross multiply
    100,629x = 138,761.62 × 84,485.19
  4. Step 4: Simplify right side
    100,629x = 11,723,301,830.41
  5. Step 5: Solve for x
    x = 11,723,301,830.41/100,629
  6. Step 6: Final answer
    x = 116,500.23

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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.