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Finding the Fourth Proportional to 52,383, 78,449.43 and 30,149.64

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Solution

The fourth proportional to 52,383, 78,449.43 and 30,149.64 is: 45,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,383 : 78,449.43 = 30,149.64 : x
  2. Step 2: Convert to fraction form
    52,383/78,449.43 = 30,149.64/x
  3. Step 3: Cross multiply
    52,383x = 78,449.43 × 30,149.64
  4. Step 4: Simplify right side
    52,383x = 2,365,222,148.08
  5. Step 5: Solve for x
    x = 2,365,222,148.08/52,383
  6. Step 6: Final answer
    x = 45,152.48

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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.