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Finding the Fourth Proportional to 160,034.81, 240,202.89 and 81,205.61

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Solution

The fourth proportional to 160,034.81, 240,202.89 and 81,205.61 is: 121,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,034.81 : 240,202.89 = 81,205.61 : x
  2. Step 2: Convert to fraction form
    160,034.81/240,202.89 = 81,205.61/x
  3. Step 3: Cross multiply
    160,034.81x = 240,202.89 × 81,205.61
  4. Step 4: Simplify right side
    160,034.81x = 19,505,821,005.20
  5. Step 5: Solve for x
    x = 19,505,821,005.20/160,034.81
  6. Step 6: Final answer
    x = 121,884.87

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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.