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Finding the Fourth Proportional to 152,777.52, 229,211.64 and 82,638

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Solution

The fourth proportional to 152,777.52, 229,211.64 and 82,638 is: 123,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,777.52 : 229,211.64 = 82,638 : x
  2. Step 2: Convert to fraction form
    152,777.52/229,211.64 = 82,638/x
  3. Step 3: Cross multiply
    152,777.52x = 229,211.64 × 82,638
  4. Step 4: Simplify right side
    152,777.52x = 18,941,591,506.32
  5. Step 5: Solve for x
    x = 18,941,591,506.32/152,777.52
  6. Step 6: Final answer
    x = 123,981.54

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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.