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Finding the Fourth Proportional to 100,999.42, 139,379.16 and 55,678.17

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Solution

The fourth proportional to 100,999.42, 139,379.16 and 55,678.17 is: 76,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,999.42 : 139,379.16 = 55,678.17 : x
  2. Step 2: Convert to fraction form
    100,999.42/139,379.16 = 55,678.17/x
  3. Step 3: Cross multiply
    100,999.42x = 139,379.16 × 55,678.17
  4. Step 4: Simplify right side
    100,999.42x = 7,760,376,564.94
  5. Step 5: Solve for x
    x = 7,760,376,564.94/100,999.42
  6. Step 6: Final answer
    x = 76,835.86

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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.