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Finding the Fourth Proportional to 144,820.80, 217,072.80 and 51,278.40

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Solution

The fourth proportional to 144,820.80, 217,072.80 and 51,278.40 is: 76,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820.80 : 217,072.80 = 51,278.40 : x
  2. Step 2: Convert to fraction form
    144,820.80/217,072.80 = 51,278.40/x
  3. Step 3: Cross multiply
    144,820.80x = 217,072.80 × 51,278.40
  4. Step 4: Simplify right side
    144,820.80x = 11,131,145,867.52
  5. Step 5: Solve for x
    x = 11,131,145,867.52/144,820.80
  6. Step 6: Final answer
    x = 76,861.51

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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.