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Finding the Fourth Proportional to 78,101.16, 107,728.40 and 55,164.66

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Solution

The fourth proportional to 78,101.16, 107,728.40 and 55,164.66 is: 76,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,101.16 : 107,728.40 = 55,164.66 : x
  2. Step 2: Convert to fraction form
    78,101.16/107,728.40 = 55,164.66/x
  3. Step 3: Cross multiply
    78,101.16x = 107,728.40 × 55,164.66
  4. Step 4: Simplify right side
    78,101.16x = 5,942,800,558.34
  5. Step 5: Solve for x
    x = 5,942,800,558.34/78,101.16
  6. Step 6: Final answer
    x = 76,091.07

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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.