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Finding the Fourth Proportional to 54,840.50, 82,261.20 and 13,287.50

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Solution

The fourth proportional to 54,840.50, 82,261.20 and 13,287.50 is: 19,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840.50 : 82,261.20 = 13,287.50 : x
  2. Step 2: Convert to fraction form
    54,840.50/82,261.20 = 13,287.50/x
  3. Step 3: Cross multiply
    54,840.50x = 82,261.20 × 13,287.50
  4. Step 4: Simplify right side
    54,840.50x = 1,093,045,695
  5. Step 5: Solve for x
    x = 1,093,045,695/54,840.50
  6. Step 6: Final answer
    x = 19,931.36

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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.