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Finding the Fourth Proportional to 130,765.75, 180,112.99 and 100,493.11

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Solution

The fourth proportional to 130,765.75, 180,112.99 and 100,493.11 is: 138,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,765.75 : 180,112.99 = 100,493.11 : x
  2. Step 2: Convert to fraction form
    130,765.75/180,112.99 = 100,493.11/x
  3. Step 3: Cross multiply
    130,765.75x = 180,112.99 × 100,493.11
  4. Step 4: Simplify right side
    130,765.75x = 18,100,115,055.68
  5. Step 5: Solve for x
    x = 18,100,115,055.68/130,765.75
  6. Step 6: Final answer
    x = 138,416.33

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1.5x scale

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.