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Finding the Fourth Proportional to 51,262.48, 70,744.68 and 28,906

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Solution

The fourth proportional to 51,262.48, 70,744.68 and 28,906 is: 39,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,262.48 : 70,744.68 = 28,906 : x
  2. Step 2: Convert to fraction form
    51,262.48/70,744.68 = 28,906/x
  3. Step 3: Cross multiply
    51,262.48x = 70,744.68 × 28,906
  4. Step 4: Simplify right side
    51,262.48x = 2,044,945,720.08
  5. Step 5: Solve for x
    x = 2,044,945,720.08/51,262.48
  6. Step 6: Final answer
    x = 39,891.67

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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.