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Finding the Fourth Proportional to 130,635, 180,067.97 and 98,321.05

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Solution

The fourth proportional to 130,635, 180,067.97 and 98,321.05 is: 135,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,635 : 180,067.97 = 98,321.05 : x
  2. Step 2: Convert to fraction form
    130,635/180,067.97 = 98,321.05/x
  3. Step 3: Cross multiply
    130,635x = 180,067.97 × 98,321.05
  4. Step 4: Simplify right side
    130,635x = 17,704,472,352.66
  5. Step 5: Solve for x
    x = 17,704,472,352.66/130,635
  6. Step 6: Final answer
    x = 135,526.26

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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.