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Finding the Fourth Proportional to 75,224, 112,842.84 and 19,820

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Solution

The fourth proportional to 75,224, 112,842.84 and 19,820 is: 29,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224 : 112,842.84 = 19,820 : x
  2. Step 2: Convert to fraction form
    75,224/112,842.84 = 19,820/x
  3. Step 3: Cross multiply
    75,224x = 112,842.84 × 19,820
  4. Step 4: Simplify right side
    75,224x = 2,236,545,088.80
  5. Step 5: Solve for x
    x = 2,236,545,088.80/75,224
  6. Step 6: Final answer
    x = 29,731.80

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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.