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Finding the Fourth Proportional to 100,891.19, 138,221.56 and 97,107.68

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Solution

The fourth proportional to 100,891.19, 138,221.56 and 97,107.68 is: 133,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,891.19 : 138,221.56 = 97,107.68 : x
  2. Step 2: Convert to fraction form
    100,891.19/138,221.56 = 97,107.68/x
  3. Step 3: Cross multiply
    100,891.19x = 138,221.56 × 97,107.68
  4. Step 4: Simplify right side
    100,891.19x = 13,422,375,017.58
  5. Step 5: Solve for x
    x = 13,422,375,017.58/100,891.19
  6. Step 6: Final answer
    x = 133,038.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.