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Finding the Fourth Proportional to 152,121.84, 209,919.89 and 84,134.84

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Solution

The fourth proportional to 152,121.84, 209,919.89 and 84,134.84 is: 116,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,121.84 : 209,919.89 = 84,134.84 : x
  2. Step 2: Convert to fraction form
    152,121.84/209,919.89 = 84,134.84/x
  3. Step 3: Cross multiply
    152,121.84x = 209,919.89 × 84,134.84
  4. Step 4: Simplify right side
    152,121.84x = 17,661,576,357.97
  5. Step 5: Solve for x
    x = 17,661,576,357.97/152,121.84
  6. Step 6: Final answer
    x = 116,101.52

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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.