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Finding the Fourth Proportional to 52,845, 72,926.10 and 30,489

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Solution

The fourth proportional to 52,845, 72,926.10 and 30,489 is: 42,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,845 : 72,926.10 = 30,489 : x
  2. Step 2: Convert to fraction form
    52,845/72,926.10 = 30,489/x
  3. Step 3: Cross multiply
    52,845x = 72,926.10 × 30,489
  4. Step 4: Simplify right side
    52,845x = 2,223,443,862.90
  5. Step 5: Solve for x
    x = 2,223,443,862.90/52,845
  6. Step 6: Final answer
    x = 42,074.82

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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.