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Finding the Fourth Proportional to 45,198, 67,780.80 and 21,501.72

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Solution

The fourth proportional to 45,198, 67,780.80 and 21,501.72 is: 32,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 67,780.80 = 21,501.72 : x
  2. Step 2: Convert to fraction form
    45,198/67,780.80 = 21,501.72/x
  3. Step 3: Cross multiply
    45,198x = 67,780.80 × 21,501.72
  4. Step 4: Simplify right side
    45,198x = 1,457,403,782.98
  5. Step 5: Solve for x
    x = 1,457,403,782.98/45,198
  6. Step 6: Final answer
    x = 32,244.87

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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.