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Finding the Fourth Proportional to 275,252.60, 412,890.90 and 75,567.80

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Solution

The fourth proportional to 275,252.60, 412,890.90 and 75,567.80 is: 113,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,252.60 : 412,890.90 = 75,567.80 : x
  2. Step 2: Convert to fraction form
    275,252.60/412,890.90 = 75,567.80/x
  3. Step 3: Cross multiply
    275,252.60x = 412,890.90 × 75,567.80
  4. Step 4: Simplify right side
    275,252.60x = 31,201,256,953.02
  5. Step 5: Solve for x
    x = 31,201,256,953.02/275,252.60
  6. Step 6: Final answer
    x = 113,354.99

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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.