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Finding the Fourth Proportional to 252,097.20, 378,145.80 and 158,785.20

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Solution

The fourth proportional to 252,097.20, 378,145.80 and 158,785.20 is: 238,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,097.20 : 378,145.80 = 158,785.20 : x
  2. Step 2: Convert to fraction form
    252,097.20/378,145.80 = 158,785.20/x
  3. Step 3: Cross multiply
    252,097.20x = 378,145.80 × 158,785.20
  4. Step 4: Simplify right side
    252,097.20x = 60,043,956,482.16
  5. Step 5: Solve for x
    x = 60,043,956,482.16/252,097.20
  6. Step 6: Final answer
    x = 238,177.80

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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.