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Finding the Fourth Proportional to 206,903.16, 285,552.74 and 126,313.43

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Solution

The fourth proportional to 206,903.16, 285,552.74 and 126,313.43 is: 174,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903.16 : 285,552.74 = 126,313.43 : x
  2. Step 2: Convert to fraction form
    206,903.16/285,552.74 = 126,313.43/x
  3. Step 3: Cross multiply
    206,903.16x = 285,552.74 × 126,313.43
  4. Step 4: Simplify right side
    206,903.16x = 36,069,144,923.32
  5. Step 5: Solve for x
    x = 36,069,144,923.32/206,903.16
  6. Step 6: Final answer
    x = 174,328.63

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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.