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Finding the Fourth Proportional to 51,169.70, 76,645.20 and 42,421.70

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Solution

The fourth proportional to 51,169.70, 76,645.20 and 42,421.70 is: 63,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169.70 : 76,645.20 = 42,421.70 : x
  2. Step 2: Convert to fraction form
    51,169.70/76,645.20 = 42,421.70/x
  3. Step 3: Cross multiply
    51,169.70x = 76,645.20 × 42,421.70
  4. Step 4: Simplify right side
    51,169.70x = 3,251,419,680.84
  5. Step 5: Solve for x
    x = 3,251,419,680.84/51,169.70
  6. Step 6: Final answer
    x = 63,541.89

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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.