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Finding the Fourth Proportional to 108,047.82, 161,987.81 and 70,016.75

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Solution

The fourth proportional to 108,047.82, 161,987.81 and 70,016.75 is: 104,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,047.82 : 161,987.81 = 70,016.75 : x
  2. Step 2: Convert to fraction form
    108,047.82/161,987.81 = 70,016.75/x
  3. Step 3: Cross multiply
    108,047.82x = 161,987.81 × 70,016.75
  4. Step 4: Simplify right side
    108,047.82x = 11,341,859,995.82
  5. Step 5: Solve for x
    x = 11,341,859,995.82/108,047.82
  6. Step 6: Final answer
    x = 104,970.74

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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.