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Finding the Fourth Proportional to 67,430.34, 101,143.08 and 20,682

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Solution

The fourth proportional to 67,430.34, 101,143.08 and 20,682 is: 31,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,430.34 : 101,143.08 = 20,682 : x
  2. Step 2: Convert to fraction form
    67,430.34/101,143.08 = 20,682/x
  3. Step 3: Cross multiply
    67,430.34x = 101,143.08 × 20,682
  4. Step 4: Simplify right side
    67,430.34x = 2,091,841,180.56
  5. Step 5: Solve for x
    x = 2,091,841,180.56/67,430.34
  6. Step 6: Final answer
    x = 31,022.25

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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.