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Finding the Fourth Proportional to 106,345.80, 159,321.90 and 61,993.80

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Solution

The fourth proportional to 106,345.80, 159,321.90 and 61,993.80 is: 92,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,345.80 : 159,321.90 = 61,993.80 : x
  2. Step 2: Convert to fraction form
    106,345.80/159,321.90 = 61,993.80/x
  3. Step 3: Cross multiply
    106,345.80x = 159,321.90 × 61,993.80
  4. Step 4: Simplify right side
    106,345.80x = 9,876,970,004.22
  5. Step 5: Solve for x
    x = 9,876,970,004.22/106,345.80
  6. Step 6: Final answer
    x = 92,875.98

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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.