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Finding the Fourth Proportional to 273,097.12, 409,105 and 128,805.34

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Solution

The fourth proportional to 273,097.12, 409,105 and 128,805.34 is: 192,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,097.12 : 409,105 = 128,805.34 : x
  2. Step 2: Convert to fraction form
    273,097.12/409,105 = 128,805.34/x
  3. Step 3: Cross multiply
    273,097.12x = 409,105 × 128,805.34
  4. Step 4: Simplify right side
    273,097.12x = 52,694,908,620.70
  5. Step 5: Solve for x
    x = 52,694,908,620.70/273,097.12
  6. Step 6: Final answer
    x = 192,953.00

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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.