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Finding the Fourth Proportional to 120,362.28, 180,567.72 and 82,940.28

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Solution

The fourth proportional to 120,362.28, 180,567.72 and 82,940.28 is: 124,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362.28 : 180,567.72 = 82,940.28 : x
  2. Step 2: Convert to fraction form
    120,362.28/180,567.72 = 82,940.28/x
  3. Step 3: Cross multiply
    120,362.28x = 180,567.72 × 82,940.28
  4. Step 4: Simplify right side
    120,362.28x = 14,976,337,255.76
  5. Step 5: Solve for x
    x = 14,976,337,255.76/120,362.28
  6. Step 6: Final answer
    x = 124,427.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.