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Finding the Fourth Proportional to 255,082.30, 382,623.45 and 143,107.90

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Solution

The fourth proportional to 255,082.30, 382,623.45 and 143,107.90 is: 214,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,082.30 : 382,623.45 = 143,107.90 : x
  2. Step 2: Convert to fraction form
    255,082.30/382,623.45 = 143,107.90/x
  3. Step 3: Cross multiply
    255,082.30x = 382,623.45 × 143,107.90
  4. Step 4: Simplify right side
    255,082.30x = 54,756,438,420.26
  5. Step 5: Solve for x
    x = 54,756,438,420.26/255,082.30
  6. Step 6: Final answer
    x = 214,661.85

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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.