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Finding the Fourth Proportional to 100,599.12, 138,826.08 and 55,277.58

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Solution

The fourth proportional to 100,599.12, 138,826.08 and 55,277.58 is: 76,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.12 : 138,826.08 = 55,277.58 : x
  2. Step 2: Convert to fraction form
    100,599.12/138,826.08 = 55,277.58/x
  3. Step 3: Cross multiply
    100,599.12x = 138,826.08 × 55,277.58
  4. Step 4: Simplify right side
    100,599.12x = 7,673,969,743.29
  5. Step 5: Solve for x
    x = 7,673,969,743.29/100,599.12
  6. Step 6: Final answer
    x = 76,282.67

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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.