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Finding the Fourth Proportional to 275,177.48, 412,748.86 and 97,661

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Solution

The fourth proportional to 275,177.48, 412,748.86 and 97,661 is: 146,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,177.48 : 412,748.86 = 97,661 : x
  2. Step 2: Convert to fraction form
    275,177.48/412,748.86 = 97,661/x
  3. Step 3: Cross multiply
    275,177.48x = 412,748.86 × 97,661
  4. Step 4: Simplify right side
    275,177.48x = 40,309,466,416.46
  5. Step 5: Solve for x
    x = 40,309,466,416.46/275,177.48
  6. Step 6: Final answer
    x = 146,485.34

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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.