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Finding the Fourth Proportional to 132,303.96, 198,489.34 and 57,405.90

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Solution

The fourth proportional to 132,303.96, 198,489.34 and 57,405.90 is: 86,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,303.96 : 198,489.34 = 57,405.90 : x
  2. Step 2: Convert to fraction form
    132,303.96/198,489.34 = 57,405.90/x
  3. Step 3: Cross multiply
    132,303.96x = 198,489.34 × 57,405.90
  4. Step 4: Simplify right side
    132,303.96x = 11,394,459,203.11
  5. Step 5: Solve for x
    x = 11,394,459,203.11/132,303.96
  6. Step 6: Final answer
    x = 86,123.34

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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.