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Finding the Fourth Proportional to 153,864, 212,306.67 and 102,794.85

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Solution

The fourth proportional to 153,864, 212,306.67 and 102,794.85 is: 141,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,864 : 212,306.67 = 102,794.85 : x
  2. Step 2: Convert to fraction form
    153,864/212,306.67 = 102,794.85/x
  3. Step 3: Cross multiply
    153,864x = 212,306.67 × 102,794.85
  4. Step 4: Simplify right side
    153,864x = 21,824,032,296.65
  5. Step 5: Solve for x
    x = 21,824,032,296.65/153,864
  6. Step 6: Final answer
    x = 141,839.76

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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.