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Finding the Fourth Proportional to 145,263.84, 217,939.52 and 51,757.44

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Solution

The fourth proportional to 145,263.84, 217,939.52 and 51,757.44 is: 77,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,263.84 : 217,939.52 = 51,757.44 : x
  2. Step 2: Convert to fraction form
    145,263.84/217,939.52 = 51,757.44/x
  3. Step 3: Cross multiply
    145,263.84x = 217,939.52 × 51,757.44
  4. Step 4: Simplify right side
    145,263.84x = 11,279,991,630.03
  5. Step 5: Solve for x
    x = 11,279,991,630.03/145,263.84
  6. Step 6: Final answer
    x = 77,651.75

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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.