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Finding the Fourth Proportional to 52,563.50, 78,856.77 and 19,731.50

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Solution

The fourth proportional to 52,563.50, 78,856.77 and 19,731.50 is: 29,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,563.50 : 78,856.77 = 19,731.50 : x
  2. Step 2: Convert to fraction form
    52,563.50/78,856.77 = 19,731.50/x
  3. Step 3: Cross multiply
    52,563.50x = 78,856.77 × 19,731.50
  4. Step 4: Simplify right side
    52,563.50x = 1,555,962,357.26
  5. Step 5: Solve for x
    x = 1,555,962,357.26/52,563.50
  6. Step 6: Final answer
    x = 29,601.57

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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.