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Finding the Fourth Proportional to 238,154.50, 357,231.75 and 71,942.50

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Solution

The fourth proportional to 238,154.50, 357,231.75 and 71,942.50 is: 107,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,154.50 : 357,231.75 = 71,942.50 : x
  2. Step 2: Convert to fraction form
    238,154.50/357,231.75 = 71,942.50/x
  3. Step 3: Cross multiply
    238,154.50x = 357,231.75 × 71,942.50
  4. Step 4: Simplify right side
    238,154.50x = 25,700,145,174.38
  5. Step 5: Solve for x
    x = 25,700,145,174.38/238,154.50
  6. Step 6: Final answer
    x = 107,913.75

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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.