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Finding the Fourth Proportional to 270,114.90, 405,426.59 and 137,090.63

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Solution

The fourth proportional to 270,114.90, 405,426.59 and 137,090.63 is: 205,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,114.90 : 405,426.59 = 137,090.63 : x
  2. Step 2: Convert to fraction form
    270,114.90/405,426.59 = 137,090.63/x
  3. Step 3: Cross multiply
    270,114.90x = 405,426.59 × 137,090.63
  4. Step 4: Simplify right side
    270,114.90x = 55,580,184,443.36
  5. Step 5: Solve for x
    x = 55,580,184,443.36/270,114.90
  6. Step 6: Final answer
    x = 205,764.97

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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.