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Finding the Fourth Proportional to 206,153.28, 309,232.80 and 58,409.28

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Solution

The fourth proportional to 206,153.28, 309,232.80 and 58,409.28 is: 87,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153.28 : 309,232.80 = 58,409.28 : x
  2. Step 2: Convert to fraction form
    206,153.28/309,232.80 = 58,409.28/x
  3. Step 3: Cross multiply
    206,153.28x = 309,232.80 × 58,409.28
  4. Step 4: Simplify right side
    206,153.28x = 18,062,065,200.38
  5. Step 5: Solve for x
    x = 18,062,065,200.38/206,153.28
  6. Step 6: Final answer
    x = 87,614.74

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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.