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Finding the Fourth Proportional to 53,109, 79,663.50 and 16,173

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Solution

The fourth proportional to 53,109, 79,663.50 and 16,173 is: 24,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,109 : 79,663.50 = 16,173 : x
  2. Step 2: Convert to fraction form
    53,109/79,663.50 = 16,173/x
  3. Step 3: Cross multiply
    53,109x = 79,663.50 × 16,173
  4. Step 4: Simplify right side
    53,109x = 1,288,397,785.50
  5. Step 5: Solve for x
    x = 1,288,397,785.50/53,109
  6. Step 6: Final answer
    x = 24,259.50

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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.