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Finding the Fourth Proportional to 54,784.89, 82,127.99 and 19,699.88

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Solution

The fourth proportional to 54,784.89, 82,127.99 and 19,699.88 is: 29,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.89 : 82,127.99 = 19,699.88 : x
  2. Step 2: Convert to fraction form
    54,784.89/82,127.99 = 19,699.88/x
  3. Step 3: Cross multiply
    54,784.89x = 82,127.99 × 19,699.88
  4. Step 4: Simplify right side
    54,784.89x = 1,617,911,186.25
  5. Step 5: Solve for x
    x = 1,617,911,186.25/54,784.89
  6. Step 6: Final answer
    x = 29,532.07

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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.