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Finding the Fourth Proportional to 111,728.96, 154,184.10 and 60,742.97

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Solution

The fourth proportional to 111,728.96, 154,184.10 and 60,742.97 is: 83,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,728.96 : 154,184.10 = 60,742.97 : x
  2. Step 2: Convert to fraction form
    111,728.96/154,184.10 = 60,742.97/x
  3. Step 3: Cross multiply
    111,728.96x = 154,184.10 × 60,742.97
  4. Step 4: Simplify right side
    111,728.96x = 9,365,600,160.78
  5. Step 5: Solve for x
    x = 9,365,600,160.78/111,728.96
  6. Step 6: Final answer
    x = 83,824.28

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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.