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Finding the Fourth Proportional to 100,761.93, 151,259.54 and 54,105.93

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Solution

The fourth proportional to 100,761.93, 151,259.54 and 54,105.93 is: 81,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,761.93 : 151,259.54 = 54,105.93 : x
  2. Step 2: Convert to fraction form
    100,761.93/151,259.54 = 54,105.93/x
  3. Step 3: Cross multiply
    100,761.93x = 151,259.54 × 54,105.93
  4. Step 4: Simplify right side
    100,761.93x = 8,184,037,812.54
  5. Step 5: Solve for x
    x = 8,184,037,812.54/100,761.93
  6. Step 6: Final answer
    x = 81,221.53

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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.