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Finding the Fourth Proportional to 67,186.63, 100,750.75 and 20,428.57

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Solution

The fourth proportional to 67,186.63, 100,750.75 and 20,428.57 is: 30,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,186.63 : 100,750.75 = 20,428.57 : x
  2. Step 2: Convert to fraction form
    67,186.63/100,750.75 = 20,428.57/x
  3. Step 3: Cross multiply
    67,186.63x = 100,750.75 × 20,428.57
  4. Step 4: Simplify right side
    67,186.63x = 2,058,193,748.93
  5. Step 5: Solve for x
    x = 2,058,193,748.93/67,186.63
  6. Step 6: Final answer
    x = 30,633.98

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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.