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Finding the Fourth Proportional to 120,010.42, 165,608 and 69,015.06

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Solution

The fourth proportional to 120,010.42, 165,608 and 69,015.06 is: 95,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,010.42 : 165,608 = 69,015.06 : x
  2. Step 2: Convert to fraction form
    120,010.42/165,608 = 69,015.06/x
  3. Step 3: Cross multiply
    120,010.42x = 165,608 × 69,015.06
  4. Step 4: Simplify right side
    120,010.42x = 11,429,446,056.48
  5. Step 5: Solve for x
    x = 11,429,446,056.48/120,010.42
  6. Step 6: Final answer
    x = 95,237.11

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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.