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Finding the Fourth Proportional to 78,055, 116,989.02 and 40,065.28

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Solution

The fourth proportional to 78,055, 116,989.02 and 40,065.28 is: 60,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,055 : 116,989.02 = 40,065.28 : x
  2. Step 2: Convert to fraction form
    78,055/116,989.02 = 40,065.28/x
  3. Step 3: Cross multiply
    78,055x = 116,989.02 × 40,065.28
  4. Step 4: Simplify right side
    78,055x = 4,687,197,843.23
  5. Step 5: Solve for x
    x = 4,687,197,843.23/78,055
  6. Step 6: Final answer
    x = 60,049.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.