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Finding the Fourth Proportional to 52,561.50, 78,853.77 and 19,729.50

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Solution

The fourth proportional to 52,561.50, 78,853.77 and 19,729.50 is: 29,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561.50 : 78,853.77 = 19,729.50 : x
  2. Step 2: Convert to fraction form
    52,561.50/78,853.77 = 19,729.50/x
  3. Step 3: Cross multiply
    52,561.50x = 78,853.77 × 19,729.50
  4. Step 4: Simplify right side
    52,561.50x = 1,555,745,455.22
  5. Step 5: Solve for x
    x = 1,555,745,455.22/52,561.50
  6. Step 6: Final answer
    x = 29,598.57

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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.