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Finding the Fourth Proportional to 206,102.80, 284,439.90 and 115,457.32

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Solution

The fourth proportional to 206,102.80, 284,439.90 and 115,457.32 is: 159,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,102.80 : 284,439.90 = 115,457.32 : x
  2. Step 2: Convert to fraction form
    206,102.80/284,439.90 = 115,457.32/x
  3. Step 3: Cross multiply
    206,102.80x = 284,439.90 × 115,457.32
  4. Step 4: Simplify right side
    206,102.80x = 32,840,668,555.07
  5. Step 5: Solve for x
    x = 32,840,668,555.07/206,102.80
  6. Step 6: Final answer
    x = 159,341.21

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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.