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Finding the Fourth Proportional to 154,388.50, 213,056.13 and 83,732.50

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Solution

The fourth proportional to 154,388.50, 213,056.13 and 83,732.50 is: 115,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,388.50 : 213,056.13 = 83,732.50 : x
  2. Step 2: Convert to fraction form
    154,388.50/213,056.13 = 83,732.50/x
  3. Step 3: Cross multiply
    154,388.50x = 213,056.13 × 83,732.50
  4. Step 4: Simplify right side
    154,388.50x = 17,839,722,405.23
  5. Step 5: Solve for x
    x = 17,839,722,405.23/154,388.50
  6. Step 6: Final answer
    x = 115,550.85

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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.