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Finding the Fourth Proportional to 54,513, 81,769.50 and 17,577

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Solution

The fourth proportional to 54,513, 81,769.50 and 17,577 is: 26,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,513 : 81,769.50 = 17,577 : x
  2. Step 2: Convert to fraction form
    54,513/81,769.50 = 17,577/x
  3. Step 3: Cross multiply
    54,513x = 81,769.50 × 17,577
  4. Step 4: Simplify right side
    54,513x = 1,437,262,501.50
  5. Step 5: Solve for x
    x = 1,437,262,501.50/54,513
  6. Step 6: Final answer
    x = 26,365.50

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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.