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Finding the Fourth Proportional to 132,906.40, 199,129.20 and 86,135.20

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Solution

The fourth proportional to 132,906.40, 199,129.20 and 86,135.20 is: 129,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,906.40 : 199,129.20 = 86,135.20 : x
  2. Step 2: Convert to fraction form
    132,906.40/199,129.20 = 86,135.20/x
  3. Step 3: Cross multiply
    132,906.40x = 199,129.20 × 86,135.20
  4. Step 4: Simplify right side
    132,906.40x = 17,152,033,467.84
  5. Step 5: Solve for x
    x = 17,152,033,467.84/132,906.40
  6. Step 6: Final answer
    x = 129,053.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.