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Finding the Fourth Proportional to 207,800, 286,764 and 118,376

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Solution

The fourth proportional to 207,800, 286,764 and 118,376 is: 163,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,800 : 286,764 = 118,376 : x
  2. Step 2: Convert to fraction form
    207,800/286,764 = 118,376/x
  3. Step 3: Cross multiply
    207,800x = 286,764 × 118,376
  4. Step 4: Simplify right side
    207,800x = 33,945,975,264
  5. Step 5: Solve for x
    x = 33,945,975,264/207,800
  6. Step 6: Final answer
    x = 163,358.88

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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.