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Finding the Fourth Proportional to 138,649.60, 191,303.04 and 82,074.88

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Solution

The fourth proportional to 138,649.60, 191,303.04 and 82,074.88 is: 113,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.60 : 191,303.04 = 82,074.88 : x
  2. Step 2: Convert to fraction form
    138,649.60/191,303.04 = 82,074.88/x
  3. Step 3: Cross multiply
    138,649.60x = 191,303.04 × 82,074.88
  4. Step 4: Simplify right side
    138,649.60x = 15,701,174,051.64
  5. Step 5: Solve for x
    x = 15,701,174,051.64/138,649.60
  6. Step 6: Final answer
    x = 113,243.56

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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.