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Finding the Fourth Proportional to 100,641.34, 138,891.27 and 83,845.18

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Solution

The fourth proportional to 100,641.34, 138,891.27 and 83,845.18 is: 115,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,641.34 : 138,891.27 = 83,845.18 : x
  2. Step 2: Convert to fraction form
    100,641.34/138,891.27 = 83,845.18/x
  3. Step 3: Cross multiply
    100,641.34x = 138,891.27 × 83,845.18
  4. Step 4: Simplify right side
    100,641.34x = 11,645,363,533.58
  5. Step 5: Solve for x
    x = 11,645,363,533.58/100,641.34
  6. Step 6: Final answer
    x = 115,711.53

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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.