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Finding the Fourth Proportional to 52,564, 72,541.28 and 30,209.44

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Solution

The fourth proportional to 52,564, 72,541.28 and 30,209.44 is: 41,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564 : 72,541.28 = 30,209.44 : x
  2. Step 2: Convert to fraction form
    52,564/72,541.28 = 30,209.44/x
  3. Step 3: Cross multiply
    52,564x = 72,541.28 × 30,209.44
  4. Step 4: Simplify right side
    52,564x = 2,191,431,445.68
  5. Step 5: Solve for x
    x = 2,191,431,445.68/52,564
  6. Step 6: Final answer
    x = 41,690.73

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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.