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Finding the Fourth Proportional to 138,134.96, 206,816.64 and 74,728.34

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Solution

The fourth proportional to 138,134.96, 206,816.64 and 74,728.34 is: 111,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,134.96 : 206,816.64 = 74,728.34 : x
  2. Step 2: Convert to fraction form
    138,134.96/206,816.64 = 74,728.34/x
  3. Step 3: Cross multiply
    138,134.96x = 206,816.64 × 74,728.34
  4. Step 4: Simplify right side
    138,134.96x = 15,455,064,191.58
  5. Step 5: Solve for x
    x = 15,455,064,191.58/138,134.96
  6. Step 6: Final answer
    x = 111,883.80

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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.