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Finding the Fourth Proportional to 100,959.64, 139,325.24 and 55,639.24

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Solution

The fourth proportional to 100,959.64, 139,325.24 and 55,639.24 is: 76,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.64 : 139,325.24 = 55,639.24 : x
  2. Step 2: Convert to fraction form
    100,959.64/139,325.24 = 55,639.24/x
  3. Step 3: Cross multiply
    100,959.64x = 139,325.24 × 55,639.24
  4. Step 4: Simplify right side
    100,959.64x = 7,751,950,466.42
  5. Step 5: Solve for x
    x = 7,751,950,466.42/100,959.64
  6. Step 6: Final answer
    x = 76,782.67

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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.