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Finding the Fourth Proportional to 116,908.56, 161,295.75 and 71,539.20

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Solution

The fourth proportional to 116,908.56, 161,295.75 and 71,539.20 is: 98,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,908.56 : 161,295.75 = 71,539.20 : x
  2. Step 2: Convert to fraction form
    116,908.56/161,295.75 = 71,539.20/x
  3. Step 3: Cross multiply
    116,908.56x = 161,295.75 × 71,539.20
  4. Step 4: Simplify right side
    116,908.56x = 11,538,968,918.40
  5. Step 5: Solve for x
    x = 11,538,968,918.40/116,908.56
  6. Step 6: Final answer
    x = 98,700.80

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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.