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Finding the Fourth Proportional to 192,146.40, 288,219.60 and 133,097.40

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Solution

The fourth proportional to 192,146.40, 288,219.60 and 133,097.40 is: 199,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,146.40 : 288,219.60 = 133,097.40 : x
  2. Step 2: Convert to fraction form
    192,146.40/288,219.60 = 133,097.40/x
  3. Step 3: Cross multiply
    192,146.40x = 288,219.60 × 133,097.40
  4. Step 4: Simplify right side
    192,146.40x = 38,361,279,389.04
  5. Step 5: Solve for x
    x = 38,361,279,389.04/192,146.40
  6. Step 6: Final answer
    x = 199,646.10

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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.