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Finding the Fourth Proportional to 54,875.38, 82,308.98 and 19,815.07

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Solution

The fourth proportional to 54,875.38, 82,308.98 and 19,815.07 is: 29,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875.38 : 82,308.98 = 19,815.07 : x
  2. Step 2: Convert to fraction form
    54,875.38/82,308.98 = 19,815.07/x
  3. Step 3: Cross multiply
    54,875.38x = 82,308.98 × 19,815.07
  4. Step 4: Simplify right side
    54,875.38x = 1,630,958,200.33
  5. Step 5: Solve for x
    x = 1,630,958,200.33/54,875.38
  6. Step 6: Final answer
    x = 29,721.13

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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.