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Finding the Fourth Proportional to 154,396.50, 213,067.17 and 83,740.50

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Solution

The fourth proportional to 154,396.50, 213,067.17 and 83,740.50 is: 115,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,396.50 : 213,067.17 = 83,740.50 : x
  2. Step 2: Convert to fraction form
    154,396.50/213,067.17 = 83,740.50/x
  3. Step 3: Cross multiply
    154,396.50x = 213,067.17 × 83,740.50
  4. Step 4: Simplify right side
    154,396.50x = 17,842,351,349.39
  5. Step 5: Solve for x
    x = 17,842,351,349.39/154,396.50
  6. Step 6: Final answer
    x = 115,561.89

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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.