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Finding the Fourth Proportional to 116,765.61, 161,106.87 and 71,427.03

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Solution

The fourth proportional to 116,765.61, 161,106.87 and 71,427.03 is: 98,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,765.61 : 161,106.87 = 71,427.03 : x
  2. Step 2: Convert to fraction form
    116,765.61/161,106.87 = 71,427.03/x
  3. Step 3: Cross multiply
    116,765.61x = 161,106.87 × 71,427.03
  4. Step 4: Simplify right side
    116,765.61x = 11,507,385,236.70
  5. Step 5: Solve for x
    x = 11,507,385,236.70/116,765.61
  6. Step 6: Final answer
    x = 98,551.15

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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.