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Finding the Fourth Proportional to 207,898, 286,900.04 and 116,021.20

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Solution

The fourth proportional to 207,898, 286,900.04 and 116,021.20 is: 160,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,898 : 286,900.04 = 116,021.20 : x
  2. Step 2: Convert to fraction form
    207,898/286,900.04 = 116,021.20/x
  3. Step 3: Cross multiply
    207,898x = 286,900.04 × 116,021.20
  4. Step 4: Simplify right side
    207,898x = 33,286,486,920.85
  5. Step 5: Solve for x
    x = 33,286,486,920.85/207,898
  6. Step 6: Final answer
    x = 160,109.70

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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.