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Finding the Fourth Proportional to 53,645, 80,480.50 and 16,709

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Solution

The fourth proportional to 53,645, 80,480.50 and 16,709 is: 25,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645 : 80,480.50 = 16,709 : x
  2. Step 2: Convert to fraction form
    53,645/80,480.50 = 16,709/x
  3. Step 3: Cross multiply
    53,645x = 80,480.50 × 16,709
  4. Step 4: Simplify right side
    53,645x = 1,344,748,674.50
  5. Step 5: Solve for x
    x = 1,344,748,674.50/53,645
  6. Step 6: Final answer
    x = 25,067.55

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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.