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Finding the Fourth Proportional to 53,470, 80,205 and 16,534

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Solution

The fourth proportional to 53,470, 80,205 and 16,534 is: 24,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470 : 80,205 = 16,534 : x
  2. Step 2: Convert to fraction form
    53,470/80,205 = 16,534/x
  3. Step 3: Cross multiply
    53,470x = 80,205 × 16,534
  4. Step 4: Simplify right side
    53,470x = 1,326,109,470
  5. Step 5: Solve for x
    x = 1,326,109,470/53,470
  6. Step 6: Final answer
    x = 24,801

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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.