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Finding the Fourth Proportional to 206,543.18, 285,057.95 and 115,904.49

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Solution

The fourth proportional to 206,543.18, 285,057.95 and 115,904.49 is: 159,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.18 : 285,057.95 = 115,904.49 : x
  2. Step 2: Convert to fraction form
    206,543.18/285,057.95 = 115,904.49/x
  3. Step 3: Cross multiply
    206,543.18x = 285,057.95 × 115,904.49
  4. Step 4: Simplify right side
    206,543.18x = 33,039,494,666.71
  5. Step 5: Solve for x
    x = 33,039,494,666.71/206,543.18
  6. Step 6: Final answer
    x = 159,964.10

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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.