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Finding the Fourth Proportional to 190,043.31, 284,764.88 and 154,330.84

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Solution

The fourth proportional to 190,043.31, 284,764.88 and 154,330.84 is: 231,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,043.31 : 284,764.88 = 154,330.84 : x
  2. Step 2: Convert to fraction form
    190,043.31/284,764.88 = 154,330.84/x
  3. Step 3: Cross multiply
    190,043.31x = 284,764.88 × 154,330.84
  4. Step 4: Simplify right side
    190,043.31x = 43,948,003,132.90
  5. Step 5: Solve for x
    x = 43,948,003,132.90/190,043.31
  6. Step 6: Final answer
    x = 231,252.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.