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Finding the Fourth Proportional to 85,066, 127,556.10 and 49,538.80

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Solution

The fourth proportional to 85,066, 127,556.10 and 49,538.80 is: 74,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,066 : 127,556.10 = 49,538.80 : x
  2. Step 2: Convert to fraction form
    85,066/127,556.10 = 49,538.80/x
  3. Step 3: Cross multiply
    85,066x = 127,556.10 × 49,538.80
  4. Step 4: Simplify right side
    85,066x = 6,318,976,126.68
  5. Step 5: Solve for x
    x = 6,318,976,126.68/85,066
  6. Step 6: Final answer
    x = 74,283.22

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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.