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Finding the Fourth Proportional to 279,121.96, 418,493.42 and 142,008.06

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Solution

The fourth proportional to 279,121.96, 418,493.42 and 142,008.06 is: 212,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,121.96 : 418,493.42 = 142,008.06 : x
  2. Step 2: Convert to fraction form
    279,121.96/418,493.42 = 142,008.06/x
  3. Step 3: Cross multiply
    279,121.96x = 418,493.42 × 142,008.06
  4. Step 4: Simplify right side
    279,121.96x = 59,429,438,696.97
  5. Step 5: Solve for x
    x = 59,429,438,696.97/279,121.96
  6. Step 6: Final answer
    x = 212,915.67

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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.