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Finding the Fourth Proportional to 100,999.86, 139,379.75 and 55,678.61

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Solution

The fourth proportional to 100,999.86, 139,379.75 and 55,678.61 is: 76,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,999.86 : 139,379.75 = 55,678.61 : x
  2. Step 2: Convert to fraction form
    100,999.86/139,379.75 = 55,678.61/x
  3. Step 3: Cross multiply
    100,999.86x = 139,379.75 × 55,678.61
  4. Step 4: Simplify right side
    100,999.86x = 7,760,470,550.18
  5. Step 5: Solve for x
    x = 7,760,470,550.18/100,999.86
  6. Step 6: Final answer
    x = 76,836.45

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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.