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Finding the Fourth Proportional to 103,174.56, 142,462.80 and 82,966.68

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Solution

The fourth proportional to 103,174.56, 142,462.80 and 82,966.68 is: 114,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,174.56 : 142,462.80 = 82,966.68 : x
  2. Step 2: Convert to fraction form
    103,174.56/142,462.80 = 82,966.68/x
  3. Step 3: Cross multiply
    103,174.56x = 142,462.80 × 82,966.68
  4. Step 4: Simplify right side
    103,174.56x = 11,819,665,539.50
  5. Step 5: Solve for x
    x = 11,819,665,539.50/103,174.56
  6. Step 6: Final answer
    x = 114,559.88

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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.