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Finding the Fourth Proportional to 47,891.84, 71,837.79 and 19,781.01

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Solution

The fourth proportional to 47,891.84, 71,837.79 and 19,781.01 is: 29,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.84 : 71,837.79 = 19,781.01 : x
  2. Step 2: Convert to fraction form
    47,891.84/71,837.79 = 19,781.01/x
  3. Step 3: Cross multiply
    47,891.84x = 71,837.79 × 19,781.01
  4. Step 4: Simplify right side
    47,891.84x = 1,421,023,665.12
  5. Step 5: Solve for x
    x = 1,421,023,665.12/47,891.84
  6. Step 6: Final answer
    x = 29,671.52

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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.