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Finding the Fourth Proportional to 135,948.48, 204,078.24 and 128,172.48

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Solution

The fourth proportional to 135,948.48, 204,078.24 and 128,172.48 is: 192,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,948.48 : 204,078.24 = 128,172.48 : x
  2. Step 2: Convert to fraction form
    135,948.48/204,078.24 = 128,172.48/x
  3. Step 3: Cross multiply
    135,948.48x = 204,078.24 × 128,172.48
  4. Step 4: Simplify right side
    135,948.48x = 26,157,214,134.84
  5. Step 5: Solve for x
    x = 26,157,214,134.84/135,948.48
  6. Step 6: Final answer
    x = 192,405.34

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1.5x scale

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.