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Finding the Fourth Proportional to 206,409.30, 284,581.16 and 133,683.70

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Solution

The fourth proportional to 206,409.30, 284,581.16 and 133,683.70 is: 184,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,409.30 : 284,581.16 = 133,683.70 : x
  2. Step 2: Convert to fraction form
    206,409.30/284,581.16 = 133,683.70/x
  3. Step 3: Cross multiply
    206,409.30x = 284,581.16 × 133,683.70
  4. Step 4: Simplify right side
    206,409.30x = 38,043,862,419.09
  5. Step 5: Solve for x
    x = 38,043,862,419.09/206,409.30
  6. Step 6: Final answer
    x = 184,312.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.