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Finding the Fourth Proportional to 138,157.96, 190,644.41 and 77,727.30

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Solution

The fourth proportional to 138,157.96, 190,644.41 and 77,727.30 is: 107,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,157.96 : 190,644.41 = 77,727.30 : x
  2. Step 2: Convert to fraction form
    138,157.96/190,644.41 = 77,727.30/x
  3. Step 3: Cross multiply
    138,157.96x = 190,644.41 × 77,727.30
  4. Step 4: Simplify right side
    138,157.96x = 14,818,275,249.39
  5. Step 5: Solve for x
    x = 14,818,275,249.39/138,157.96
  6. Step 6: Final answer
    x = 107,256.04

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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.