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Finding the Fourth Proportional to 161,243.80, 241,404.90 and 142,811.80

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Solution

The fourth proportional to 161,243.80, 241,404.90 and 142,811.80 is: 213,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,243.80 : 241,404.90 = 142,811.80 : x
  2. Step 2: Convert to fraction form
    161,243.80/241,404.90 = 142,811.80/x
  3. Step 3: Cross multiply
    161,243.80x = 241,404.90 × 142,811.80
  4. Step 4: Simplify right side
    161,243.80x = 34,475,468,297.82
  5. Step 5: Solve for x
    x = 34,475,468,297.82/161,243.80
  6. Step 6: Final answer
    x = 213,809.57

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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.