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Finding the Fourth Proportional to 110,190.51, 165,285.77 and 72,741.80

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Solution

The fourth proportional to 110,190.51, 165,285.77 and 72,741.80 is: 109,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,190.51 : 165,285.77 = 72,741.80 : x
  2. Step 2: Convert to fraction form
    110,190.51/165,285.77 = 72,741.80/x
  3. Step 3: Cross multiply
    110,190.51x = 165,285.77 × 72,741.80
  4. Step 4: Simplify right side
    110,190.51x = 12,023,184,473.69
  5. Step 5: Solve for x
    x = 12,023,184,473.69/110,190.51
  6. Step 6: Final answer
    x = 109,112.70

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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.