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Finding the Fourth Proportional to 208,521.80, 313,013.10 and 115,209.80

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Solution

The fourth proportional to 208,521.80, 313,013.10 and 115,209.80 is: 172,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.80 : 313,013.10 = 115,209.80 : x
  2. Step 2: Convert to fraction form
    208,521.80/313,013.10 = 115,209.80/x
  3. Step 3: Cross multiply
    208,521.80x = 313,013.10 × 115,209.80
  4. Step 4: Simplify right side
    208,521.80x = 36,062,176,648.38
  5. Step 5: Solve for x
    x = 36,062,176,648.38/208,521.80
  6. Step 6: Final answer
    x = 172,942.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.