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Finding the Fourth Proportional to 120,102.50, 165,741.45 and 67,110.50

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Solution

The fourth proportional to 120,102.50, 165,741.45 and 67,110.50 is: 92,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.50 : 165,741.45 = 67,110.50 : x
  2. Step 2: Convert to fraction form
    120,102.50/165,741.45 = 67,110.50/x
  3. Step 3: Cross multiply
    120,102.50x = 165,741.45 × 67,110.50
  4. Step 4: Simplify right side
    120,102.50x = 11,122,991,580.23
  5. Step 5: Solve for x
    x = 11,122,991,580.23/120,102.50
  6. Step 6: Final answer
    x = 92,612.49

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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.