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Finding the Fourth Proportional to 152,063.75, 209,839.51 and 84,076.64

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Solution

The fourth proportional to 152,063.75, 209,839.51 and 84,076.64 is: 116,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,063.75 : 209,839.51 = 84,076.64 : x
  2. Step 2: Convert to fraction form
    152,063.75/209,839.51 = 84,076.64/x
  3. Step 3: Cross multiply
    152,063.75x = 209,839.51 × 84,076.64
  4. Step 4: Simplify right side
    152,063.75x = 17,642,600,940.05
  5. Step 5: Solve for x
    x = 17,642,600,940.05/152,063.75
  6. Step 6: Final answer
    x = 116,021.08

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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.