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Finding the Fourth Proportional to 120,253.44, 165,923.42 and 71,848.11

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Solution

The fourth proportional to 120,253.44, 165,923.42 and 71,848.11 is: 99,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,253.44 : 165,923.42 = 71,848.11 : x
  2. Step 2: Convert to fraction form
    120,253.44/165,923.42 = 71,848.11/x
  3. Step 3: Cross multiply
    120,253.44x = 165,923.42 × 71,848.11
  4. Step 4: Simplify right side
    120,253.44x = 11,921,283,461.39
  5. Step 5: Solve for x
    x = 11,921,283,461.39/120,253.44
  6. Step 6: Final answer
    x = 99,134.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.