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Finding the Fourth Proportional to 54,767.71, 82,130.90 and 19,218.02

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Solution

The fourth proportional to 54,767.71, 82,130.90 and 19,218.02 is: 28,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,767.71 : 82,130.90 = 19,218.02 : x
  2. Step 2: Convert to fraction form
    54,767.71/82,130.90 = 19,218.02/x
  3. Step 3: Cross multiply
    54,767.71x = 82,130.90 × 19,218.02
  4. Step 4: Simplify right side
    54,767.71x = 1,578,393,278.82
  5. Step 5: Solve for x
    x = 1,578,393,278.82/54,767.71
  6. Step 6: Final answer
    x = 28,819.78

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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.