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Finding the Fourth Proportional to 116,772, 161,145.54 and 66,471

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Solution

The fourth proportional to 116,772, 161,145.54 and 66,471 is: 91,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,772 : 161,145.54 = 66,471 : x
  2. Step 2: Convert to fraction form
    116,772/161,145.54 = 66,471/x
  3. Step 3: Cross multiply
    116,772x = 161,145.54 × 66,471
  4. Step 4: Simplify right side
    116,772x = 10,711,505,189.34
  5. Step 5: Solve for x
    x = 10,711,505,189.34/116,772
  6. Step 6: Final answer
    x = 91,730.08

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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.