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Finding the Fourth Proportional to 116,771, 161,144.16 and 66,470

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Solution

The fourth proportional to 116,771, 161,144.16 and 66,470 is: 91,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,771 : 161,144.16 = 66,470 : x
  2. Step 2: Convert to fraction form
    116,771/161,144.16 = 66,470/x
  3. Step 3: Cross multiply
    116,771x = 161,144.16 × 66,470
  4. Step 4: Simplify right side
    116,771x = 10,711,252,315.20
  5. Step 5: Solve for x
    x = 10,711,252,315.20/116,771
  6. Step 6: Final answer
    x = 91,728.70

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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.