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Finding the Fourth Proportional to 53,680, 80,531.52 and 20,848

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Solution

The fourth proportional to 53,680, 80,531.52 and 20,848 is: 31,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,680 : 80,531.52 = 20,848 : x
  2. Step 2: Convert to fraction form
    53,680/80,531.52 = 20,848/x
  3. Step 3: Cross multiply
    53,680x = 80,531.52 × 20,848
  4. Step 4: Simplify right side
    53,680x = 1,678,921,128.96
  5. Step 5: Solve for x
    x = 1,678,921,128.96/53,680
  6. Step 6: Final answer
    x = 31,276.47

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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.