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Finding the Fourth Proportional to 270,109.84, 405,419 and 137,085.57

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Solution

The fourth proportional to 270,109.84, 405,419 and 137,085.57 is: 205,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,109.84 : 405,419 = 137,085.57 : x
  2. Step 2: Convert to fraction form
    270,109.84/405,419 = 137,085.57/x
  3. Step 3: Cross multiply
    270,109.84x = 405,419 × 137,085.57
  4. Step 4: Simplify right side
    270,109.84x = 55,577,094,703.83
  5. Step 5: Solve for x
    x = 55,577,094,703.83/270,109.84
  6. Step 6: Final answer
    x = 205,757.39

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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.