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Finding the Fourth Proportional to 140,080.86, 193,346.46 and 86,409.90

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Solution

The fourth proportional to 140,080.86, 193,346.46 and 86,409.90 is: 119,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080.86 : 193,346.46 = 86,409.90 : x
  2. Step 2: Convert to fraction form
    140,080.86/193,346.46 = 86,409.90/x
  3. Step 3: Cross multiply
    140,080.86x = 193,346.46 × 86,409.90
  4. Step 4: Simplify right side
    140,080.86x = 16,707,048,273.95
  5. Step 5: Solve for x
    x = 16,707,048,273.95/140,080.86
  6. Step 6: Final answer
    x = 119,267.17

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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.