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Finding the Fourth Proportional to 100,838.52, 139,165.74 and 55,525.32

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Solution

The fourth proportional to 100,838.52, 139,165.74 and 55,525.32 is: 76,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.52 : 139,165.74 = 55,525.32 : x
  2. Step 2: Convert to fraction form
    100,838.52/139,165.74 = 55,525.32/x
  3. Step 3: Cross multiply
    100,838.52x = 139,165.74 × 55,525.32
  4. Step 4: Simplify right side
    100,838.52x = 7,727,222,246.54
  5. Step 5: Solve for x
    x = 7,727,222,246.54/100,838.52
  6. Step 6: Final answer
    x = 76,629.67

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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.