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Finding the Fourth Proportional to 52,638, 72,640.44 and 30,282

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Solution

The fourth proportional to 52,638, 72,640.44 and 30,282 is: 41,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638 : 72,640.44 = 30,282 : x
  2. Step 2: Convert to fraction form
    52,638/72,640.44 = 30,282/x
  3. Step 3: Cross multiply
    52,638x = 72,640.44 × 30,282
  4. Step 4: Simplify right side
    52,638x = 2,199,697,804.08
  5. Step 5: Solve for x
    x = 2,199,697,804.08/52,638
  6. Step 6: Final answer
    x = 41,789.16

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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.