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Finding the Fourth Proportional to 142,634.88, 213,748.20 and 80,174.16

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Solution

The fourth proportional to 142,634.88, 213,748.20 and 80,174.16 is: 120,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,634.88 : 213,748.20 = 80,174.16 : x
  2. Step 2: Convert to fraction form
    142,634.88/213,748.20 = 80,174.16/x
  3. Step 3: Cross multiply
    142,634.88x = 213,748.20 × 80,174.16
  4. Step 4: Simplify right side
    142,634.88x = 17,137,082,386.51
  5. Step 5: Solve for x
    x = 17,137,082,386.51/142,634.88
  6. Step 6: Final answer
    x = 120,146.51

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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.