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Finding the Fourth Proportional to 206,145.28, 309,220.80 and 58,401.28

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Solution

The fourth proportional to 206,145.28, 309,220.80 and 58,401.28 is: 87,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.28 : 309,220.80 = 58,401.28 : x
  2. Step 2: Convert to fraction form
    206,145.28/309,220.80 = 58,401.28/x
  3. Step 3: Cross multiply
    206,145.28x = 309,220.80 × 58,401.28
  4. Step 4: Simplify right side
    206,145.28x = 18,058,890,522.62
  5. Step 5: Solve for x
    x = 18,058,890,522.62/206,145.28
  6. Step 6: Final answer
    x = 87,602.74

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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.