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Finding the Fourth Proportional to 279,123.96, 418,496.42 and 142,010.06

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Solution

The fourth proportional to 279,123.96, 418,496.42 and 142,010.06 is: 212,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,123.96 : 418,496.42 = 142,010.06 : x
  2. Step 2: Convert to fraction form
    279,123.96/418,496.42 = 142,010.06/x
  3. Step 3: Cross multiply
    279,123.96x = 418,496.42 × 142,010.06
  4. Step 4: Simplify right side
    279,123.96x = 59,430,701,713.99
  5. Step 5: Solve for x
    x = 59,430,701,713.99/279,123.96
  6. Step 6: Final answer
    x = 212,918.67

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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.