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Finding the Fourth Proportional to 54,717, 82,075.50 and 13,164

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Solution

The fourth proportional to 54,717, 82,075.50 and 13,164 is: 19,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717 : 82,075.50 = 13,164 : x
  2. Step 2: Convert to fraction form
    54,717/82,075.50 = 13,164/x
  3. Step 3: Cross multiply
    54,717x = 82,075.50 × 13,164
  4. Step 4: Simplify right side
    54,717x = 1,080,441,882
  5. Step 5: Solve for x
    x = 1,080,441,882/54,717
  6. Step 6: Final answer
    x = 19,746

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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.