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Finding the Fourth Proportional to 270,114.84, 405,426.50 and 137,090.57

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Solution

The fourth proportional to 270,114.84, 405,426.50 and 137,090.57 is: 205,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,114.84 : 405,426.50 = 137,090.57 : x
  2. Step 2: Convert to fraction form
    270,114.84/405,426.50 = 137,090.57/x
  3. Step 3: Cross multiply
    270,114.84x = 405,426.50 × 137,090.57
  4. Step 4: Simplify right side
    270,114.84x = 55,580,147,265.52
  5. Step 5: Solve for x
    x = 55,580,147,265.52/270,114.84
  6. Step 6: Final answer
    x = 205,764.88

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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.