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Finding the Fourth Proportional to 85,241.63, 127,857.80 and 26,077.30

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Solution

The fourth proportional to 85,241.63, 127,857.80 and 26,077.30 is: 39,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241.63 : 127,857.80 = 26,077.30 : x
  2. Step 2: Convert to fraction form
    85,241.63/127,857.80 = 26,077.30/x
  3. Step 3: Cross multiply
    85,241.63x = 127,857.80 × 26,077.30
  4. Step 4: Simplify right side
    85,241.63x = 3,334,186,207.94
  5. Step 5: Solve for x
    x = 3,334,186,207.94/85,241.63
  6. Step 6: Final answer
    x = 39,114.53

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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.