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Finding the Fourth Proportional to 273,048.64, 409,572.96 and 106,720

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Solution

The fourth proportional to 273,048.64, 409,572.96 and 106,720 is: 160,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,048.64 : 409,572.96 = 106,720 : x
  2. Step 2: Convert to fraction form
    273,048.64/409,572.96 = 106,720/x
  3. Step 3: Cross multiply
    273,048.64x = 409,572.96 × 106,720
  4. Step 4: Simplify right side
    273,048.64x = 43,709,626,291.20
  5. Step 5: Solve for x
    x = 43,709,626,291.20/273,048.64
  6. Step 6: Final answer
    x = 160,080

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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.