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Finding the Fourth Proportional to 54,988.75, 82,489.88 and 19,442.71

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Solution

The fourth proportional to 54,988.75, 82,489.88 and 19,442.71 is: 29,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,988.75 : 82,489.88 = 19,442.71 : x
  2. Step 2: Convert to fraction form
    54,988.75/82,489.88 = 19,442.71/x
  3. Step 3: Cross multiply
    54,988.75x = 82,489.88 × 19,442.71
  4. Step 4: Simplify right side
    54,988.75x = 1,603,827,229.16
  5. Step 5: Solve for x
    x = 1,603,827,229.16/54,988.75
  6. Step 6: Final answer
    x = 29,166.46

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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.