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Finding the Fourth Proportional to 143,391.72, 215,082.72 and 54,642

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Solution

The fourth proportional to 143,391.72, 215,082.72 and 54,642 is: 81,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,391.72 : 215,082.72 = 54,642 : x
  2. Step 2: Convert to fraction form
    143,391.72/215,082.72 = 54,642/x
  3. Step 3: Cross multiply
    143,391.72x = 215,082.72 × 54,642
  4. Step 4: Simplify right side
    143,391.72x = 11,752,549,986.24
  5. Step 5: Solve for x
    x = 11,752,549,986.24/143,391.72
  6. Step 6: Final answer
    x = 81,961.15

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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.