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Finding the Fourth Proportional to 100,901.74, 139,239.25 and 55,578.75

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Solution

The fourth proportional to 100,901.74, 139,239.25 and 55,578.75 is: 76,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,901.74 : 139,239.25 = 55,578.75 : x
  2. Step 2: Convert to fraction form
    100,901.74/139,239.25 = 55,578.75/x
  3. Step 3: Cross multiply
    100,901.74x = 139,239.25 × 55,578.75
  4. Step 4: Simplify right side
    100,901.74x = 7,738,743,465.94
  5. Step 5: Solve for x
    x = 7,738,743,465.94/100,901.74
  6. Step 6: Final answer
    x = 76,695.84

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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.