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Finding the Fourth Proportional to 54,038, 81,057.36 and 17,102

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Solution

The fourth proportional to 54,038, 81,057.36 and 17,102 is: 25,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038 : 81,057.36 = 17,102 : x
  2. Step 2: Convert to fraction form
    54,038/81,057.36 = 17,102/x
  3. Step 3: Cross multiply
    54,038x = 81,057.36 × 17,102
  4. Step 4: Simplify right side
    54,038x = 1,386,242,970.72
  5. Step 5: Solve for x
    x = 1,386,242,970.72/54,038
  6. Step 6: Final answer
    x = 25,653.11

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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.