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Finding the Fourth Proportional to 54,772.50, 82,159.02 and 13,219.50

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Solution

The fourth proportional to 54,772.50, 82,159.02 and 13,219.50 is: 19,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,772.50 : 82,159.02 = 13,219.50 : x
  2. Step 2: Convert to fraction form
    54,772.50/82,159.02 = 13,219.50/x
  3. Step 3: Cross multiply
    54,772.50x = 82,159.02 × 13,219.50
  4. Step 4: Simplify right side
    54,772.50x = 1,086,101,164.89
  5. Step 5: Solve for x
    x = 1,086,101,164.89/54,772.50
  6. Step 6: Final answer
    x = 19,829.32

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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.