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Finding the Fourth Proportional to 72,837.84, 109,256.78 and 20,247.78

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Solution

The fourth proportional to 72,837.84, 109,256.78 and 20,247.78 is: 30,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837.84 : 109,256.78 = 20,247.78 : x
  2. Step 2: Convert to fraction form
    72,837.84/109,256.78 = 20,247.78/x
  3. Step 3: Cross multiply
    72,837.84x = 109,256.78 × 20,247.78
  4. Step 4: Simplify right side
    72,837.84x = 2,212,207,244.95
  5. Step 5: Solve for x
    x = 2,212,207,244.95/72,837.84
  6. Step 6: Final answer
    x = 30,371.68

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1.5x scale

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.