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Finding the Fourth Proportional to 108,538.80, 149,802.09 and 63,243.64

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Solution

The fourth proportional to 108,538.80, 149,802.09 and 63,243.64 is: 87,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.80 : 149,802.09 = 63,243.64 : x
  2. Step 2: Convert to fraction form
    108,538.80/149,802.09 = 63,243.64/x
  3. Step 3: Cross multiply
    108,538.80x = 149,802.09 × 63,243.64
  4. Step 4: Simplify right side
    108,538.80x = 9,474,028,914.41
  5. Step 5: Solve for x
    x = 9,474,028,914.41/108,538.80
  6. Step 6: Final answer
    x = 87,287.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.