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Finding the Fourth Proportional to 100,066, 138,098.56 and 57,046.52

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Solution

The fourth proportional to 100,066, 138,098.56 and 57,046.52 is: 78,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,066 : 138,098.56 = 57,046.52 : x
  2. Step 2: Convert to fraction form
    100,066/138,098.56 = 57,046.52/x
  3. Step 3: Cross multiply
    100,066x = 138,098.56 × 57,046.52
  4. Step 4: Simplify right side
    100,066x = 7,878,042,265.01
  5. Step 5: Solve for x
    x = 7,878,042,265.01/100,066
  6. Step 6: Final answer
    x = 78,728.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.