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Finding the Fourth Proportional to 139,879.20, 193,034.16 and 83,292.96

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Solution

The fourth proportional to 139,879.20, 193,034.16 and 83,292.96 is: 114,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,879.20 : 193,034.16 = 83,292.96 : x
  2. Step 2: Convert to fraction form
    139,879.20/193,034.16 = 83,292.96/x
  3. Step 3: Cross multiply
    139,879.20x = 193,034.16 × 83,292.96
  4. Step 4: Simplify right side
    139,879.20x = 16,078,386,567.51
  5. Step 5: Solve for x
    x = 16,078,386,567.51/139,879.20
  6. Step 6: Final answer
    x = 114,944.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.