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Finding the Fourth Proportional to 100,884.85, 138,212.84 and 97,101.34

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Solution

The fourth proportional to 100,884.85, 138,212.84 and 97,101.34 is: 133,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.85 : 138,212.84 = 97,101.34 : x
  2. Step 2: Convert to fraction form
    100,884.85/138,212.84 = 97,101.34/x
  3. Step 3: Cross multiply
    100,884.85x = 138,212.84 × 97,101.34
  4. Step 4: Simplify right side
    100,884.85x = 13,420,651,866.43
  5. Step 5: Solve for x
    x = 13,420,651,866.43/100,884.85
  6. Step 6: Final answer
    x = 133,029.41

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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.