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Finding the Fourth Proportional to 53,274, 73,520.46 and 30,620.28

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Solution

The fourth proportional to 53,274, 73,520.46 and 30,620.28 is: 42,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,274 : 73,520.46 = 30,620.28 : x
  2. Step 2: Convert to fraction form
    53,274/73,520.46 = 30,620.28/x
  3. Step 3: Cross multiply
    53,274x = 73,520.46 × 30,620.28
  4. Step 4: Simplify right side
    53,274x = 2,251,217,070.93
  5. Step 5: Solve for x
    x = 2,251,217,070.93/53,274
  6. Step 6: Final answer
    x = 42,257.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.